Pith Number

pith:MWKXXZJL

pith:2012:MWKXXZJLNRDFHGME7HTQLURTVT

not attested not anchored not stored refs pending

An algebraic approach to BCJ numerators

Bo Feng, Chih-Hao Fu, Yi-Jian Du

arxiv:1212.6168 v1 · 2012-12-26 · 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{MWKXXZJLNRDFHGME7HTQLURTVT}

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	2026-05-18T01:52:27.424632Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65957be52b6c46539984f9e705d233acf2771f4aba18416d8884c00874a5ae14

Aliases

arxiv: 1212.6168 · arxiv_version: 1212.6168v1 · doi: 10.48550/arxiv.1212.6168 · pith_short_12: MWKXXZJLNRDF · pith_short_16: MWKXXZJLNRDFHGME · pith_short_8: MWKXXZJL

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/MWKXXZJLNRDFHGME7HTQLURTVT \
  | 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: 65957be52b6c46539984f9e705d233acf2771f4aba18416d8884c00874a5ae14

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f802bb7578cdfae5427e519ce33cb170e7fc9eeb3d70b1c128e98f446395d38",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2012-12-26T12:36:41Z",
    "title_canon_sha256": "cd6812db234c05c4d1f0caf33e16e80c7ea3e59623bdddee98c8a6ca3324e1b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.6168",
    "kind": "arxiv",
    "version": 1
  }
}