Pith Number

pith:RYRJX5TM

pith:2008:RYRJX5TMCFYZISQRZEEUH7HY5X

not attested not anchored not stored refs pending

Sharpening The Leading Singularity

Freddy Cachazo

arxiv:0803.1988 v1 · 2008-03-13 · 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{RYRJX5TMCFYZISQRZEEUH7HY5X}

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

6 papers in Pith

Analytic results for heavy-quark contributions to charged-current DIS at NNLO

Solution of Canonical Differential Equations for Integrals on Arbitrary Geometries

Bootstrapping the Four-Point NMHV Stress-Tensor Form Factor

Five legs @ three loops: N=4 sYM amplitude near mass-shell

The spectrum of Feynman-integral geometries at two loops

Receipt and verification

First computed	2026-07-04T15:10:12.778468Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e229bf66c1171944a11c90943fcf8edf67eac97d7d0fdf883f2fd9cd427617d

Aliases

arxiv: 0803.1988 · arxiv_version: 0803.1988v1 · doi: 10.48550/arxiv.0803.1988 · pith_short_12: RYRJX5TMCFYZ · pith_short_16: RYRJX5TMCFYZISQR · pith_short_8: RYRJX5TM

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/RYRJX5TMCFYZISQRZEEUH7HY5X \
  | 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: 8e229bf66c1171944a11c90943fcf8edf67eac97d7d0fdf883f2fd9cd427617d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d08427d5b01c93e647be2be6284fa9cdca60f376f22c7881a864dff68b05f5f1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2008-03-13T15:08:15Z",
    "title_canon_sha256": "2034f96ef2db3110a379421e18a4bd7b7d97f09bd22e38c732f7e285aefea3f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0803.1988",
    "kind": "arxiv",
    "version": 1
  }
}