Pith Number

pith:TSTZDFZI

pith:2010:TSTZDFZIMMSZ53HCTXI6CXHH43

not attested not anchored not stored refs pending

Categories of comodules and chain complexes of modules

A. Ardizzoni, C. Menini, L. El Kaoutit

arxiv:1004.4572 v2 · 2010-04-26 · 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{TSTZDFZIMMSZ53HCTXI6CXHH43}

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	2026-05-18T04:23:03.090682Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ca791972863259eece29dd1e15ce7e6fec0351e88629629825083a9bb250dfa

Aliases

arxiv: 1004.4572 · arxiv_version: 1004.4572v2 · doi: 10.48550/arxiv.1004.4572 · pith_short_12: TSTZDFZIMMSZ · pith_short_16: TSTZDFZIMMSZ53HC · pith_short_8: TSTZDFZI

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/TSTZDFZIMMSZ53HCTXI6CXHH43 \
  | 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: 9ca791972863259eece29dd1e15ce7e6fec0351e88629629825083a9bb250dfa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ec953f4ab4bf96fb0ac790b96f6e1455dc9c7c81b197e65d4a1c1a2ef66ac25",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2010-04-26T16:51:37Z",
    "title_canon_sha256": "78f077233ca2d9e8df8eb729b4ab4b449d21f409f0c90c98be01db96b16dadf4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.4572",
    "kind": "arxiv",
    "version": 2
  }
}