Pith Number

pith:XZ3L4CSF

pith:2018:XZ3L4CSF3OPEEGU4J4W7QIIA2D

not attested not anchored not stored refs pending

Special moves for open book decompositions of 3-manifolds

Daniele Zuddas, Riccardo Piergallini

arxiv:1801.01858 v1 · 2018-01-05 · 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{XZ3L4CSF3OPEEGU4J4W7QIIA2D}

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	2026-05-18T00:26:40.791125Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be76be0a45db9e421a9c4f2df82100d0dda0b1a4967c7d2f1dfd132e1cb607cb

Aliases

arxiv: 1801.01858 · arxiv_version: 1801.01858v1 · doi: 10.48550/arxiv.1801.01858 · pith_short_12: XZ3L4CSF3OPE · pith_short_16: XZ3L4CSF3OPEEGU4 · pith_short_8: XZ3L4CSF

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/XZ3L4CSF3OPEEGU4J4W7QIIA2D \
  | 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: be76be0a45db9e421a9c4f2df82100d0dda0b1a4967c7d2f1dfd132e1cb607cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41fc44cb65740552e0f267f3636d3225b2a59be209840138864d11573a26a14a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2018-01-05T18:08:44Z",
    "title_canon_sha256": "9d957b83c04c74f29334d776edf56430501f2e1841d72eb3d04bf8208937ae03"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.01858",
    "kind": "arxiv",
    "version": 1
  }
}