Pith Number

pith:HSEQY4WE

pith:2016:HSEQY4WEKG4GBAJLW5PMT45GYN

not attested not anchored not stored refs pending

The modular class of a Dirac map

Raquel Caseiro

arxiv:1601.06973 v1 · 2016-01-26 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HSEQY4WEKG4GBAJLW5PMT45GYN}

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	2026-05-18T01:18:37.935676Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c890c72c451b860812bb75ec9f3a6c364ebfb9689b1a5dcfa7764ac4a61ccba

Aliases

arxiv: 1601.06973 · arxiv_version: 1601.06973v1 · doi: 10.48550/arxiv.1601.06973 · pith_short_12: HSEQY4WEKG4G · pith_short_16: HSEQY4WEKG4GBAJL · pith_short_8: HSEQY4WE

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/HSEQY4WEKG4GBAJLW5PMT45GYN \
  | 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: 3c890c72c451b860812bb75ec9f3a6c364ebfb9689b1a5dcfa7764ac4a61ccba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ead6b858af3923827fbc4c78d96c3c9f2ef0d53294a9e73ff621ff6b74156687",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-01-26T10:58:50Z",
    "title_canon_sha256": "517e98e122ac5ec67ef54f3cc93d57ddea227fe74fb452b8008b3aabbfe39c53"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.06973",
    "kind": "arxiv",
    "version": 1
  }
}