Pith Number

pith:5OV4PRSD

pith:2022:5OV4PRSDY5FY7OO3MF3MONXVYS

not attested not anchored not stored refs pending

The homotopy category of acyclic complexes of pure-projective modules

James Gillespie

arxiv:2201.05542 v2 · 2022-01-14 · math.AT · math.CT · 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{5OV4PRSDY5FY7OO3MF3MONXVYS}

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	2026-07-05T03:50:04.586961Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ebabc7c643c74b8fb9db6176c736f5c48a990b2eeba591df9b115b85cc6c0ae6

Aliases

arxiv: 2201.05542 · arxiv_version: 2201.05542v2 · doi: 10.48550/arxiv.2201.05542 · pith_short_12: 5OV4PRSDY5FY · pith_short_16: 5OV4PRSDY5FY7OO3 · pith_short_8: 5OV4PRSD

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/5OV4PRSDY5FY7OO3MF3MONXVYS \
  | 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: ebabc7c643c74b8fb9db6176c736f5c48a990b2eeba591df9b115b85cc6c0ae6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4b7117ecc0cacaaa09fd49908feba0e84237ed8809401bb763c17ba4282a810",
    "cross_cats_sorted": [
      "math.CT",
      "math.RA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2022-01-14T16:27:40Z",
    "title_canon_sha256": "e0d764e9d4797cae883139c0d7e405978fd8261c5ec9b46c01c556fdfec6ad2b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2201.05542",
    "kind": "arxiv",
    "version": 2
  }
}