Pith Number

pith:7WW4WPQV

pith:2019:7WW4WPQVMQK4WRE5FSBYCZHWCO

not attested not anchored not stored refs pending

Triangulations for ABHY Polytopes and Recursions for Tree and Loop Amplitudes

Qinglin Yang

arxiv:1912.09163 v2 · 2019-12-19 · 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{7WW4WPQVMQK4WRE5FSBYCZHWCO}

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

BCFW like recursion for Deformed Associahedron

Receipt and verification

First computed	2026-07-05T01:45:24.696353Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fdadcb3e156415cb449d2c838164f613885adefeb24589f647493e0a1f882fbb

Aliases

arxiv: 1912.09163 · arxiv_version: 1912.09163v2 · doi: 10.48550/arxiv.1912.09163 · pith_short_12: 7WW4WPQVMQK4 · pith_short_16: 7WW4WPQVMQK4WRE5 · pith_short_8: 7WW4WPQV

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/7WW4WPQVMQK4WRE5FSBYCZHWCO \
  | 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: fdadcb3e156415cb449d2c838164f613885adefeb24589f647493e0a1f882fbb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "139686f7ef63ce87cf5b013c84659ac59fbcd8fbe66564cbd5ecf278ddc2ad37",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2019-12-19T12:44:07Z",
    "title_canon_sha256": "27c6d197c7ab33bf2372d1c22b58b76a34310869f3ac5bc81c88a0e8f83815ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.09163",
    "kind": "arxiv",
    "version": 2
  }
}