Pith Number

pith:FNPKJBTH

pith:2013:FNPKJBTHK7TMA27ZBRRDS2LVLW

not attested not anchored not stored refs pending

Scattering of Massless Particles: Scalars, Gluons and Gravitons

Ellis Ye Yuan, Freddy Cachazo, Song He

arxiv:1309.0885 v1 · 2013-09-04 · hep-th

Open paper page JSON Open Graph Bundle Merged state What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FNPKJBTHK7TMA27ZBRRDS2LVLW}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

7 papers in Pith

BCFW like recursion for Deformed Associahedron

A new recursion relation for tree-level NLSM amplitudes based on hidden zeros

$2$-split from Feynman diagrams and Expansions

Hidden zeros for higher-derivative YM and GR amplitudes at tree-level

$D$-Dimensional Modular Assembly of Higher-Derivative Four-Point Contact Amplitudes Involving Fermions

Receipt and verification

First computed	2026-05-18T01:47:50.051943Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b5ea4866757e6c06bf90c623969755dbfb990463cb721f41c139dea6e0fbb7a

Aliases

arxiv: 1309.0885 · arxiv_version: 1309.0885v1 · doi: 10.48550/arxiv.1309.0885 · pith_short_12: FNPKJBTHK7TM · pith_short_16: FNPKJBTHK7TMA27Z · pith_short_8: FNPKJBTH

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/FNPKJBTHK7TMA27ZBRRDS2LVLW \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 2b5ea4866757e6c06bf90c623969755dbfb990463cb721f41c139dea6e0fbb7a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f94730d438452baa00eb57911fc61a09f63489cdc93358c7107a71f910bc421",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2013-09-04T01:49:55Z",
    "title_canon_sha256": "9b2d975ecac92dd422d3606781a2c2e31e0cd060fc7db0ea213e3ebee32fc6b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.0885",
    "kind": "arxiv",
    "version": 1
  }
}