Pith Number

pith:KJPYZ45X

pith:2018:KJPYZ45XDAGJSDGZVGHQPJ34S6

not attested not anchored not stored refs pending

The twisting procedure

Bruno Vallette, Sergey Shadrin, Vladimir Dotsenko

arxiv:1810.02941 v2 · 2018-10-06 · math.QA · math.AT · math.CT · math.KT · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KJPYZ45XDAGJSDGZVGHQPJ34S6}

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	2026-05-17T23:52:15.454232Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

525f8cf3b7180c990cd9a98f07a77c9785f617b2dc749b0ceac5e613496e1e32

Aliases

arxiv: 1810.02941 · arxiv_version: 1810.02941v2 · doi: 10.48550/arxiv.1810.02941 · pith_short_12: KJPYZ45XDAGJ · pith_short_16: KJPYZ45XDAGJSDGZ · pith_short_8: KJPYZ45X

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/KJPYZ45XDAGJSDGZVGHQPJ34S6 \
  | 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: 525f8cf3b7180c990cd9a98f07a77c9785f617b2dc749b0ceac5e613496e1e32

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48997b99d500235dbb1bfa2cf090e04ddc73c1d11cd9973a77c79ff618acb8ac",
    "cross_cats_sorted": [
      "math.AT",
      "math.CT",
      "math.KT",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2018-10-06T06:14:59Z",
    "title_canon_sha256": "7a6dbc86a839c10611a6510e9281b0318a08351e8c2cc3e88d0929bb9cbde336"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.02941",
    "kind": "arxiv",
    "version": 2
  }
}