Pith Number

pith:HTVDVDQ4

pith:2004:HTVDVDQ4HCICZBTLZCGBSLSVTA

not attested not anchored not stored refs pending

Overtwisted open books from sobering arcs

Noah Goodman

arxiv:math/0407420 v2 · 2004-07-24 · math.GT · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HTVDVDQ4HCICZBTLZCGBSLSVTA}

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	2026-05-18T02:41:32.371939Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3cea3a8e1c38902c866bc88c192e55980f486ee896db9cbd0576b7b33034b604

Aliases

arxiv: math/0407420 · arxiv_version: math/0407420v2 · doi: 10.48550/arxiv.math/0407420 · pith_short_12: HTVDVDQ4HCIC · pith_short_16: HTVDVDQ4HCICZBTL · pith_short_8: HTVDVDQ4

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/HTVDVDQ4HCICZBTLZCGBSLSVTA \
  | 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: 3cea3a8e1c38902c866bc88c192e55980f486ee896db9cbd0576b7b33034b604

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b26a6ddb6be2f55b802d2235582b5131d04b7e2501f94a54d4f432a2022fa7c",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2004-07-24T18:09:55Z",
    "title_canon_sha256": "aa3449c88e6f60d84b998aa58488976bb7bb666c104e2f990fa4cb944f556ecb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0407420",
    "kind": "arxiv",
    "version": 2
  }
}