Pith Number

pith:YLDSOR2V

pith:2014:YLDSOR2V6D2BEOHLPDYP5VVGGU

not attested not anchored not stored refs pending

Analysis as a source of geometry: a non-geometric representation of the Dirac equation

Dmitri Vassiliev, Yan-Long Fang

arxiv:1401.3160 v4 · 2014-01-14 · math.AP · gr-qc · math-ph · math.DG · 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{YLDSOR2V6D2BEOHLPDYP5VVGGU}

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	2026-05-18T02:17:12.395880Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2c7274755f0f41238eb78f0fed6a6351932f275ff99f20bc30e0405f692fca2

Aliases

arxiv: 1401.3160 · arxiv_version: 1401.3160v4 · doi: 10.48550/arxiv.1401.3160 · pith_short_12: YLDSOR2V6D2B · pith_short_16: YLDSOR2V6D2BEOHL · pith_short_8: YLDSOR2V

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/YLDSOR2V6D2BEOHLPDYP5VVGGU \
  | 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: c2c7274755f0f41238eb78f0fed6a6351932f275ff99f20bc30e0405f692fca2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8a685e46f65f27dc2f06a610ed4ebf0a41e373bb50be3162441c7c25b0b7f0a",
    "cross_cats_sorted": [
      "gr-qc",
      "math-ph",
      "math.DG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-01-14T12:18:06Z",
    "title_canon_sha256": "dab1bb9d3e82398cbb1315eaa45b6c605e4cb1d57f4457dbd4a9e4ef2f5ae631"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.3160",
    "kind": "arxiv",
    "version": 4
  }
}