Pith Number

pith:YWIIXK5J

pith:2015:YWIIXK5JRYYSXFZNMAYGHB7PYQ

not attested not anchored not stored refs pending

Symplectic Dirac Equation

Edilberto O. Silva, R. G. G. Amorim, S. C. Ulhoa

arxiv:1504.03041 v1 · 2015-04-13 · math-ph · hep-th · 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{YWIIXK5JRYYSXFZNMAYGHB7PYQ}

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	2026-05-18T01:18:09.908494Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5908baba98e312b972d60306387efc439f427fca4538e1329e9b37deef8c6a5

Aliases

arxiv: 1504.03041 · arxiv_version: 1504.03041v1 · doi: 10.48550/arxiv.1504.03041 · pith_short_12: YWIIXK5JRYYS · pith_short_16: YWIIXK5JRYYSXFZN · pith_short_8: YWIIXK5J

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/YWIIXK5JRYYSXFZNMAYGHB7PYQ \
  | 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: c5908baba98e312b972d60306387efc439f427fca4538e1329e9b37deef8c6a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44a7d28a9e78d7bd189f47c4114cd8ab431daeb459f66fa54c6b229f628898b7",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-04-13T01:04:22Z",
    "title_canon_sha256": "928bdd96466befd6f81c092b11ba70746130a24e1f064a2989a2f7dd32e40d6f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.03041",
    "kind": "arxiv",
    "version": 1
  }
}