Pith Number

pith:PC2F7CDO

pith:2013:PC2F7CDOYG4QMJ3XQOZJBRXVF4

not attested not anchored not stored refs pending

Massive fermions in 2+1 dimensions

Cheng-Yang Lee

arxiv:1312.0527 v3 · 2013-12-02 · hep-th · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PC2F7CDOYG4QMJ3XQOZJBRXVF4}

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	2026-05-18T02:18:01.600101Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78b45f886ec1b906277783b290c6f52f2b49fc7d4e9756c46c71ed84482aae07

Aliases

arxiv: 1312.0527 · arxiv_version: 1312.0527v3 · doi: 10.48550/arxiv.1312.0527 · pith_short_12: PC2F7CDOYG4Q · pith_short_16: PC2F7CDOYG4QMJ3X · pith_short_8: PC2F7CDO

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/PC2F7CDOYG4QMJ3XQOZJBRXVF4 \
  | 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: 78b45f886ec1b906277783b290c6f52f2b49fc7d4e9756c46c71ed84482aae07

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "caf2305dcc0da77db3748816b764801fb602f27e88c3be2c7580f45a3197df9e",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2013-12-02T17:39:20Z",
    "title_canon_sha256": "196602bdf3762ca829e7b2c0e593f6db9b2cc008fe368d377f6fd7ea9c9b427f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.0527",
    "kind": "arxiv",
    "version": 3
  }
}