Pith Number

pith:IF7K4AUJ

pith:2025:IF7K4AUJNBVDI5JJHQPZQVFWRU

not attested not anchored not stored refs pending

Handle decompositions and stabilizations of open books

Chun-Sheng Hsueh

arxiv:2505.19343 v1 · 2025-05-25 · 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{IF7K4AUJNBVDI5JJHQPZQVFWRU}

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.

Cited by

1 paper in Pith

Twist maps and codimension-1 spun embeddings

Receipt and verification

First computed	2026-07-05T11:09:28.850953Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

417eae0289686a3475293c1f9854b68d0ef89e472e1576e90d6f733349b6df97

Aliases

arxiv: 2505.19343 · arxiv_version: 2505.19343v1 · doi: 10.48550/arxiv.2505.19343 · pith_short_12: IF7K4AUJNBVD · pith_short_16: IF7K4AUJNBVDI5JJ · pith_short_8: IF7K4AUJ

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/IF7K4AUJNBVDI5JJHQPZQVFWRU \
  | 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: 417eae0289686a3475293c1f9854b68d0ef89e472e1576e90d6f733349b6df97

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf52a5036508879af56b1a27252859188790c0453ce12a3ef01776adf902996f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2025-05-25T22:17:13Z",
    "title_canon_sha256": "8d1801137f11254a7fe4406d69be2c69556fbf77729773e8eef0a8fe0fac8db9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.19343",
    "kind": "arxiv",
    "version": 1
  }
}