Pith Number

pith:BTDKKMQI

pith:2016:BTDKKMQIM3EWTNJ2EBV2JNM63V

not attested not anchored not stored refs pending

Homology of Associative Shelves

Alissa S. Crans, J\'ozef H. Przytycki, Sujoy Mukherjee

arxiv:1603.08590 v1 · 2016-03-28 · 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{BTDKKMQIM3EWTNJ2EBV2JNM63V}

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	2026-05-18T01:18:05.970088Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0cc6a5320866c969b53a206ba4b59edd62d03a5db017c77f27308007fce0f993

Aliases

arxiv: 1603.08590 · arxiv_version: 1603.08590v1 · doi: 10.48550/arxiv.1603.08590 · pith_short_12: BTDKKMQIM3EW · pith_short_16: BTDKKMQIM3EWTNJ2 · pith_short_8: BTDKKMQI

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/BTDKKMQIM3EWTNJ2EBV2JNM63V \
  | 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: 0cc6a5320866c969b53a206ba4b59edd62d03a5db017c77f27308007fce0f993

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02cf59f66c423ce8485148faa2ead2519a1bd3200c4d2b33dad1e049e433c21c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-03-28T23:18:44Z",
    "title_canon_sha256": "cdd0056db14cfd0106958855fcbca948e95b029383a9af70b6093bf209450f1a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.08590",
    "kind": "arxiv",
    "version": 1
  }
}