Pith Number

pith:FSANTBEV

pith:2026:FSANTBEV4M43LLW2EM2ZG75ZEX

not attested not anchored not stored refs pending

An adaptive inverse-problem framework for one-loop five-gluon BCJ numerators

Lin Mai, Yaobo Zhang

arxiv:2607.13412 v1 · 2026-07-15 · 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{FSANTBEV4M43LLW2EM2ZG75ZEX}

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.

Receipt and verification

First computed	2026-07-16T00:22:16.676721Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c80d98495e339b5aeda2335937fb925e92a77aacc1923d3db51aa0e559bd314

Aliases

arxiv: 2607.13412 · arxiv_version: 2607.13412v1 · doi: 10.48550/arxiv.2607.13412 · pith_short_12: FSANTBEV4M43 · pith_short_16: FSANTBEV4M43LLW2 · pith_short_8: FSANTBEV

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/FSANTBEV4M43LLW2EM2ZG75ZEX \
  | 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: 2c80d98495e339b5aeda2335937fb925e92a77aacc1923d3db51aa0e559bd314

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f15d3a973dfd5add1be3759b84b44c4225c18c20024622fe8d9d382fc44263dd",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-07-15T03:27:30Z",
    "title_canon_sha256": "c77e81d8dcae2ca04ea246299c91fb405eb87f98855632c377c1f995a8cc76e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.13412",
    "kind": "arxiv",
    "version": 1
  }
}