Pith Number

pith:K7W5TBOM

pith:2010:K7W5TBOMGBJCKV4YHJG5T2BXTP

not attested not anchored not stored refs pending

High-Energy String Scattering Amplitudes and Signless Stirling Number Identity

Catherine H. Yan, Jen-Chi Lee, Yi Yang

arxiv:1012.5225 v3 · 2010-12-23 · 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{K7W5TBOMGBJCKV4YHJG5T2BXTP}

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	2026-05-18T03:50:48.862334Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57edd985cc30522557983a4dd9e8379bf0f4d64ed129a39542fc76204b7dc064

Aliases

arxiv: 1012.5225 · arxiv_version: 1012.5225v3 · doi: 10.48550/arxiv.1012.5225 · pith_short_12: K7W5TBOMGBJC · pith_short_16: K7W5TBOMGBJCKV4Y · pith_short_8: K7W5TBOM

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/K7W5TBOMGBJCKV4YHJG5T2BXTP \
  | 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: 57edd985cc30522557983a4dd9e8379bf0f4d64ed129a39542fc76204b7dc064

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a57ab250a49cfa999a1f490fa830471b01ab2ddc80557434886b12fafb3acf07",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2010-12-23T15:10:13Z",
    "title_canon_sha256": "dd2971f78a97c7919993c428fe1926d20d3e7d420272c4cd92318278e2467663"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.5225",
    "kind": "arxiv",
    "version": 3
  }
}