Pith Number

pith:3P53MOWS

pith:2012:3P53MOWSCRK4RFYOEX4AKAS2MJ

not attested not anchored not stored refs pending

The Spin$^c$ Dirac Operator on Hypersurfaces and Applications

Julien Roth, Roger Nakad

arxiv:1207.2877 v2 · 2012-07-12 · 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{3P53MOWSCRK4RFYOEX4AKAS2MJ}

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	2026-05-18T00:50:23.946271Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dbfbb63ad21455c8970e25f805025a62433331568a33390382f19fa502b7b38e

Aliases

arxiv: 1207.2877 · arxiv_version: 1207.2877v2 · doi: 10.48550/arxiv.1207.2877 · pith_short_12: 3P53MOWSCRK4 · pith_short_16: 3P53MOWSCRK4RFYO · pith_short_8: 3P53MOWS

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/3P53MOWSCRK4RFYOEX4AKAS2MJ \
  | 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: dbfbb63ad21455c8970e25f805025a62433331568a33390382f19fa502b7b38e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43b12209598d011bd0221766ad875de13407f0ca2300f3c0f44b965f48f35ce5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-07-12T08:39:24Z",
    "title_canon_sha256": "c8805840f391556029e1a1c815c57c6179764a4da2cf579c7612c721ce5eebe3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.2877",
    "kind": "arxiv",
    "version": 2
  }
}