Pith Number

pith:YYCQ7223

pith:2015:YYCQ722347OJB2ESRNBGQPDVYL

not attested not anchored not stored refs pending

Homological Algebra for Commutative Monoids

Jaret Flores

arxiv:1503.02309 v1 · 2015-03-08 · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YYCQ722347OJB2ESRNBGQPDVYL}

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	2026-05-18T02:25:25.380355Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6050feb5be7dc90e8928b42683c75c2d5e23e9b8350f401dd5128d7eccb2ec8

Aliases

arxiv: 1503.02309 · arxiv_version: 1503.02309v1 · doi: 10.48550/arxiv.1503.02309 · pith_short_12: YYCQ722347OJ · pith_short_16: YYCQ722347OJB2ES · pith_short_8: YYCQ7223

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/YYCQ722347OJB2ESRNBGQPDVYL \
  | 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: c6050feb5be7dc90e8928b42683c75c2d5e23e9b8350f401dd5128d7eccb2ec8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf48d192189f997eee173c4705f456d6369bf584537e99d28cbc369e855fdc40",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2015-03-08T19:01:06Z",
    "title_canon_sha256": "ae3806b70562d3a76e3c2433cda0ccb7db7aad4133b49d33c146379ec57e6e00"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.02309",
    "kind": "arxiv",
    "version": 1
  }
}