Pith Number

pith:2ZO5ZKCJ

pith:2004:2ZO5ZKCJDJVVTUTYVTNKZOYIPI

not attested not anchored not stored refs pending

Boundary slopes (nearly) bound cyclic slopes

Thomas W. Mattman

arxiv:math/0407025 v3 · 2004-07-02 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2ZO5ZKCJDJVVTUTYVTNKZOYIPI}

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	2026-05-18T02:41:32.392676Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d65ddca8491a6b59d278acdaacbb087a37fec345a42eb18ea0a8ab60cd45e213

Aliases

arxiv: math/0407025 · arxiv_version: math/0407025v3 · doi: 10.48550/arxiv.math/0407025 · pith_short_12: 2ZO5ZKCJDJVV · pith_short_16: 2ZO5ZKCJDJVVTUTY · pith_short_8: 2ZO5ZKCJ

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/2ZO5ZKCJDJVVTUTYVTNKZOYIPI \
  | 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: d65ddca8491a6b59d278acdaacbb087a37fec345a42eb18ea0a8ab60cd45e213

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f493e4ebc6668e3151bea3a39b79ac70ee30c02cc64b92b7b307951658ce6bf1",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2004-07-02T17:43:12Z",
    "title_canon_sha256": "f799933c856adfb6dc1dba8772846fb5cdcb53043988ba9ee6b7905c627f4fa8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0407025",
    "kind": "arxiv",
    "version": 3
  }
}