Pith Number

pith:JXLOLHLE

pith:2012:JXLOLHLESPSD3H2DEB35HY3ATB

not attested not anchored not stored refs pending

A note on on-shell recursion relation of string amplitudes

Bo Feng, Chih-Hao Fu, Jen-Chi Lee, Yihong Wang, Yi Yang, Yung-Yeh Chang

arxiv:1210.1776 v3 · 2012-10-05 · 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{JXLOLHLESPSD3H2DEB35HY3ATB}

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	2026-05-18T01:54:05.280721Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4dd6e59d6493e43d9f432077d3e360985acfb89291acf3ef997383792303dee4

Aliases

arxiv: 1210.1776 · arxiv_version: 1210.1776v3 · doi: 10.48550/arxiv.1210.1776 · pith_short_12: JXLOLHLESPSD · pith_short_16: JXLOLHLESPSD3H2D · pith_short_8: JXLOLHLE

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/JXLOLHLESPSD3H2DEB35HY3ATB \
  | 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: 4dd6e59d6493e43d9f432077d3e360985acfb89291acf3ef997383792303dee4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a766135debdb7517a5f8352e30dacc27a904e6e9973007a4b9bdc2e26781bb44",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2012-10-05T14:52:01Z",
    "title_canon_sha256": "b86072a5ff283839e4855ff1a5fbe17de55f81ad2f4d5d6d6632df27fc56309d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.1776",
    "kind": "arxiv",
    "version": 3
  }
}