Pith Number

pith:5YZBX4RH

pith:2016:5YZBX4RHKARU4FRPOWJAO6MRGC

not attested not anchored not stored refs pending

Codualizing modules

A.-J. Taherizadeh, M. Rahmani

arxiv:1611.08881 v1 · 2016-11-27 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5YZBX4RHKARU4FRPOWJAO6MRGC}

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	2026-05-18T00:56:29.980000Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee321bf22750234e162f75920779913097594341ae459347d601b65b868087a7

Aliases

arxiv: 1611.08881 · arxiv_version: 1611.08881v1 · doi: 10.48550/arxiv.1611.08881 · pith_short_12: 5YZBX4RHKARU · pith_short_16: 5YZBX4RHKARU4FRP · pith_short_8: 5YZBX4RH

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/5YZBX4RHKARU4FRPOWJAO6MRGC \
  | 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: ee321bf22750234e162f75920779913097594341ae459347d601b65b868087a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "74287d2ce65cb9c522251e709cacb611bd93c637723d02190188f9dae89847c8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2016-11-27T18:17:14Z",
    "title_canon_sha256": "25a2fdab7f8e8b6fb212f15a9df1f877e893111a7046ce8f5a44afd4d7871625"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.08881",
    "kind": "arxiv",
    "version": 1
  }
}