Pith Number

pith:B4D7FID4

pith:2013:B4D7FID42AUFJU2P3BII72TKHZ

not attested not anchored not stored refs pending

Factorization of Dirac Equation in Two Space Dimensions

Ahmed Jellal, Hocine Bahlouli, Youness Zahidi

arxiv:1306.5701 v2 · 2013-06-24 · math-ph · cond-mat.mes-hall · hep-th · math.MP · quant-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{B4D7FID42AUFJU2P3BII72TKHZ}

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	2026-05-18T01:15:36.616494Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f07f2a07cd02854d34fd8508fea6a3e48f0fae0a3413af8a9755798089b38d7

Aliases

arxiv: 1306.5701 · arxiv_version: 1306.5701v2 · doi: 10.48550/arxiv.1306.5701 · pith_short_12: B4D7FID42AUF · pith_short_16: B4D7FID42AUFJU2P · pith_short_8: B4D7FID4

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/B4D7FID42AUFJU2P3BII72TKHZ \
  | 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: 0f07f2a07cd02854d34fd8508fea6a3e48f0fae0a3413af8a9755798089b38d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab58c5f10c65a8d56b49d32e8786a2f42ec468c9d02f25a68af717026a8d49f8",
    "cross_cats_sorted": [
      "cond-mat.mes-hall",
      "hep-th",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-06-24T18:29:09Z",
    "title_canon_sha256": "b897b7d1c94f5d355057a5c7aa19121fc3d5fe59a1356fd265dfd90d1cf5bc64"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.5701",
    "kind": "arxiv",
    "version": 2
  }
}