Pith Number

pith:S7R3L4HN

pith:2009:S7R3L4HNBBBIAIBHJUS6OTHULQ

not attested not anchored not stored refs pending

Certified numerical homotopy tracking

Anton Leykin, Carlos Beltr\'an

arxiv:0912.0920 v2 · 2009-12-04 · math.NA · 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{S7R3L4HNBBBIAIBHJUS6OTHULQ}

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	2026-05-18T04:33:04.319570Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97e3b5f0ed08428020274d25e74cf45c1386558b17bb079f07fd560aa266cc2b

Aliases

arxiv: 0912.0920 · arxiv_version: 0912.0920v2 · doi: 10.48550/arxiv.0912.0920 · pith_short_12: S7R3L4HNBBBI · pith_short_16: S7R3L4HNBBBIAIBH · pith_short_8: S7R3L4HN

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/S7R3L4HNBBBIAIBHJUS6OTHULQ \
  | 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: 97e3b5f0ed08428020274d25e74cf45c1386558b17bb079f07fd560aa266cc2b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94bee6282f18e87eb79e979779fc55c3965dd581b69d476e74352affa04599de",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2009-12-04T19:35:56Z",
    "title_canon_sha256": "76280031bdb0911c5755c831fd176d76cb6f558b36cf10c08cac59e02e3a789d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.0920",
    "kind": "arxiv",
    "version": 2
  }
}