Pith Number

pith:7CD6TGIA

pith:2004:7CD6TGIA2X7KVEWVQ777NDZ3ZN

not attested not anchored not stored refs pending

Rational acyclic resolutions

Michael Levin

arxiv:math/0410369 v2 · 2004-10-16 · math.GT · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7CD6TGIA2X7KVEWVQ777NDZ3ZN}

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	2026-05-18T02:41:32.268251Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f887e99900d5feaa92d587fff68f3bcb6b2ade383e7381a120ab3f1b816e4931

Aliases

arxiv: math/0410369 · arxiv_version: math/0410369v2 · doi: 10.48550/arxiv.math/0410369 · pith_short_12: 7CD6TGIA2X7K · pith_short_16: 7CD6TGIA2X7KVEWV · pith_short_8: 7CD6TGIA

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/7CD6TGIA2X7KVEWVQ777NDZ3ZN \
  | 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: f887e99900d5feaa92d587fff68f3bcb6b2ade383e7381a120ab3f1b816e4931

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "810ad6598db0a561d00d5bfbee5309c47646bfcd6baf562bf7171e9ffade0b6c",
    "cross_cats_sorted": [
      "math.GN"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2004-10-16T19:29:30Z",
    "title_canon_sha256": "4039cec0eac5d6dc50fd1e7ae5f346dfcb552ccc5a545a413f36bb59c0925a58"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0410369",
    "kind": "arxiv",
    "version": 2
  }
}