Pith Number

pith:L5ULFTE3

pith:2019:L5ULFTE37JJIOPLZDHXUTPMHU5

not attested not anchored not stored refs pending

Expansion of tree amplitudes for EM and other theories

Kang Zhou, Shi-Qian Hu

arxiv:1907.07857 v1 · 2019-07-18 · 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{L5ULFTE37JJIOPLZDHXUTPMHU5}

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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

5 papers in Pith

Transmuting off-shell CHY integrals in the double-cover framework

Transmutation operators and expansions for $1$-loop Feynman integrands

Note on hidden zeros and expansions of tree-level amplitudes

$2$-split from Feynman diagrams and Expansions

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

Receipt and verification

First computed	2026-07-05T01:24:27.425362Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f68b2cc9bfa52873d7919ef49bd87a77377e390e0726895a16341d3bf64738a

Aliases

arxiv: 1907.07857 · arxiv_version: 1907.07857v1 · doi: 10.48550/arxiv.1907.07857 · pith_short_12: L5ULFTE37JJI · pith_short_16: L5ULFTE37JJIOPLZ · pith_short_8: L5ULFTE3

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/L5ULFTE37JJIOPLZDHXUTPMHU5 \
  | 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: 5f68b2cc9bfa52873d7919ef49bd87a77377e390e0726895a16341d3bf64738a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1ddce8f9e68a1e40170abb62fca44c97128d9d07cb695456ea196f53b01f3c6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2019-07-18T03:30:08Z",
    "title_canon_sha256": "26fbff769ea8b9d6b4f15cc73c08054e7defb12d08e1b693a8058b570692afc0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.07857",
    "kind": "arxiv",
    "version": 1
  }
}