Pith Number

pith:4YPQGSMW

pith:2013:4YPQGSMWVY4JZQNQRGGNVRPZBM

not attested not anchored not stored refs pending

Rigidity of causal maps

Michael G. Cowling, Nils Byrial Andersen

arxiv:1307.4903 v1 · 2013-07-18 · 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{4YPQGSMWVY4JZQNQRGGNVRPZBM}

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	2026-05-18T03:18:07.271460Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e61f034996ae389cc1b0898cdac5f90b1d00730659b224e96ce9d6dfdbfe8b67

Aliases

arxiv: 1307.4903 · arxiv_version: 1307.4903v1 · doi: 10.48550/arxiv.1307.4903 · pith_short_12: 4YPQGSMWVY4J · pith_short_16: 4YPQGSMWVY4JZQNQ · pith_short_8: 4YPQGSMW

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/4YPQGSMWVY4JZQNQRGGNVRPZBM \
  | 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: e61f034996ae389cc1b0898cdac5f90b1d00730659b224e96ce9d6dfdbfe8b67

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d506f60653f43e6225f77c288857cd29e9c0d50d581c83817eb88b1eb24083a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-07-18T10:55:14Z",
    "title_canon_sha256": "89866f2fab278763ebb508e46d0ff2c530e70b32a88616fdce1830aaf57cb153"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.4903",
    "kind": "arxiv",
    "version": 1
  }
}