Pith Number

pith:75MRZDJH

pith:2011:75MRZDJHCM7TNT2WAY4QO3OU2I

not attested not anchored not stored refs pending

Robust certified numerical homotopy tracking

Anton Leykin, Carlos Beltr\'an

arxiv:1105.5992 v2 · 2011-05-30 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{75MRZDJHCM7TNT2WAY4QO3OU2I}

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	2026-05-18T03:41:59.002296Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff591c8d27133f36cf560639076dd4d2050e875746d8a318504c0d68bbd30f01

Aliases

arxiv: 1105.5992 · arxiv_version: 1105.5992v2 · doi: 10.48550/arxiv.1105.5992 · pith_short_12: 75MRZDJHCM7T · pith_short_16: 75MRZDJHCM7TNT2W · pith_short_8: 75MRZDJH

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/75MRZDJHCM7TNT2WAY4QO3OU2I \
  | 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: ff591c8d27133f36cf560639076dd4d2050e875746d8a318504c0d68bbd30f01

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "468681254c9e8fd1cb1327f666da28006df24021db9a8efd3b43a4560a002e88",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-05-30T13:34:27Z",
    "title_canon_sha256": "1b6cb471fd45832fc620a2f6be4b73dc7793f240122364736d784dd1d60778cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.5992",
    "kind": "arxiv",
    "version": 2
  }
}