Pith Number

pith:ZMVYAAV3

pith:2006:ZMVYAAV3BYO2GAEISX52YYRAAF

not attested not anchored not stored refs pending

Invariant Prolongation and Detour Complexes

A.R. Gover

arxiv:math/0612629 v1 · 2006-12-21 · math.DG · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZMVYAAV3BYO2GAEISX52YYRAAF}

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	2026-07-04T14:58:11.437080Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb2b8002bb0e1da3008895fbac62200167854ae435d5cc36298996c6cce047d0

Aliases

arxiv: math/0612629 · arxiv_version: math/0612629v1 · doi: 10.48550/arxiv.math/0612629 · pith_short_12: ZMVYAAV3BYO2 · pith_short_16: ZMVYAAV3BYO2GAEI · pith_short_8: ZMVYAAV3

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/ZMVYAAV3BYO2GAEISX52YYRAAF \
  | 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: cb2b8002bb0e1da3008895fbac62200167854ae435d5cc36298996c6cce047d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0401bc480c3cc14a3712a50bc998e3dd569ef9afa3cf19c6b65bd9c0806d3de",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2006-12-21T05:07:19Z",
    "title_canon_sha256": "b2f638d9c6049f18ba10c9242f3d69b50674d5f2f15b7b86721fcc56858ec3b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0612629",
    "kind": "arxiv",
    "version": 1
  }
}