Pith Number

pith:3S66LRJE

pith:2018:3S66LRJELKERJXCHCW3TYRCUVQ

not attested not anchored not stored refs pending

A Markov theorem for generalized plat decomposition

Alessia Cattabriga, Bo\v{s}tjan Gabrov\v{s}ek

arxiv:1801.04766 v4 · 2018-01-15 · 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{3S66LRJELKERJXCHCW3TYRCUVQ}

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	2026-05-17T23:53:57.930027Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dcbde5c5245a8914dc4715b73c4454ac36b9e0de23ddd0f4a942fa53e1c04419

Aliases

arxiv: 1801.04766 · arxiv_version: 1801.04766v4 · doi: 10.48550/arxiv.1801.04766 · pith_short_12: 3S66LRJELKER · pith_short_16: 3S66LRJELKERJXCH · pith_short_8: 3S66LRJE

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/3S66LRJELKERJXCHCW3TYRCUVQ \
  | 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: dcbde5c5245a8914dc4715b73c4454ac36b9e0de23ddd0f4a942fa53e1c04419

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13c3c4135a64da6d0371a36a98ddec122f48da7dec9ab98cc23c177a65848527",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2018-01-15T12:14:54Z",
    "title_canon_sha256": "934bcb0cd6e444816080b1bc38060c9b505735219bc788abe7fc66d8b4943d16"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.04766",
    "kind": "arxiv",
    "version": 4
  }
}