Pith Number

pith:MWUMMJD2

pith:2012:MWUMMJD27ZQIB3GZ3U76NFOKZG

not attested not anchored not stored refs pending

Canonical conjugated Dirac equation in a curved space

Vladimir Dzhunushaliev

arxiv:1202.5100 v2 · 2012-02-23 · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MWUMMJD27ZQIB3GZ3U76NFOKZG}

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	2026-05-18T04:01:25.424745Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65a8c6247afe6080ecd9dd3fe695cac9b1a4c4e6dd2afd5f85277c6e0426f5d1

Aliases

arxiv: 1202.5100 · arxiv_version: 1202.5100v2 · doi: 10.48550/arxiv.1202.5100 · pith_short_12: MWUMMJD27ZQI · pith_short_16: MWUMMJD27ZQIB3GZ · pith_short_8: MWUMMJD2

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/MWUMMJD27ZQIB3GZ3U76NFOKZG \
  | 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: 65a8c6247afe6080ecd9dd3fe695cac9b1a4c4e6dd2afd5f85277c6e0426f5d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ebb0a525676ae64a5c184892fa4fabb381377b95e55253de5af6bfd947f6b2ad",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2012-02-23T07:30:29Z",
    "title_canon_sha256": "0af36e008e680e15836e66a4490247c2431ce53001ff34f705b9ae040f49b041"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.5100",
    "kind": "arxiv",
    "version": 2
  }
}