Pith Number

pith:VTZXQOB2

pith:2005:VTZXQOB2Z5YXFHRLXLNO4WCXHE

not attested not anchored not stored refs pending

Tree Level Recursion Relations In General Relativity

Freddy Cachazo, Peter Svrcek

arxiv:hep-th/0502160 v3 · 2005-02-17 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VTZXQOB2Z5YXFHRLXLNO4WCXHE}

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

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

1 paper in Pith

Perturbiner methods in scattering amplitude

Receipt and verification

First computed	2026-07-04T14:32:22.166936Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

acf378383acf71729e2bbadaee5857391feb9ec51c6616365a1ded0d62518197

Aliases

arxiv: hep-th/0502160 · arxiv_version: hep-th/0502160v3 · doi: 10.48550/arxiv.hep-th/0502160 · pith_short_12: VTZXQOB2Z5YX · pith_short_16: VTZXQOB2Z5YXFHRL · pith_short_8: VTZXQOB2

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/VTZXQOB2Z5YXFHRLXLNO4WCXHE \
  | 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: acf378383acf71729e2bbadaee5857391feb9ec51c6616365a1ded0d62518197

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "192b4c22e1f603d1f3835ffb23e793958fa57b3e5541fc28f6992bbf05470ce0",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2005-02-17T20:53:43Z",
    "title_canon_sha256": "b04ac4f11352418dcdca229b6b7d8430dd21b8fc07375d325daf26d0d79a59b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0502160",
    "kind": "arxiv",
    "version": 3
  }
}