Pith Number

pith:Z7FH4MXB

pith:2011:Z7FH4MXBYUERJNHPKRKRC6A4PF

not attested not anchored not stored refs pending

An Introduction to On-shell Recursion Relations

Bo Feng, Mingxing Luo

arxiv:1111.5759 v3 · 2011-11-24 · hep-th · hep-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z7FH4MXBYUERJNHPKRKRC6A4PF}

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

Perturbative construction of amplitudes from on-shell trees with vacuum pairs: the all-plus four-gluon amplitude through order $\boldsymbol{g}^{\boldsymbol{6}}$

Receipt and verification

First computed	2026-05-18T03:10:56.008945Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cfca7e32e1c50914b4ef545511781c79582311cefeffe7d2f1808f1e411f261b

Aliases

arxiv: 1111.5759 · arxiv_version: 1111.5759v3 · doi: 10.48550/arxiv.1111.5759 · pith_short_12: Z7FH4MXBYUER · pith_short_16: Z7FH4MXBYUERJNHP · pith_short_8: Z7FH4MXB

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/Z7FH4MXBYUERJNHPKRKRC6A4PF \
  | 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: cfca7e32e1c50914b4ef545511781c79582311cefeffe7d2f1808f1e411f261b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2990e3c527c2e63ef7b349669c699ceca5036657a1ab138d68027bc5c54a01cc",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2011-11-24T13:41:36Z",
    "title_canon_sha256": "e93fab1c7a5eb460a309d9882c16297d05409897a23ed5343fa3f8cfba21445a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.5759",
    "kind": "arxiv",
    "version": 3
  }
}