Pith Number

pith:YPCCF5LP

pith:2015:YPCCF5LPAAOHIX7CH7PHFTS7PB

not attested not anchored not stored refs pending

Complete Homology over associative rings

Greg Piepmeyer, Lars Winther Christensen, Li Liang, Olgur Celikbas

arxiv:1501.00297 v2 · 2015-01-01 · 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{YPCCF5LPAAOHIX7CH7PHFTS7PB}

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	2026-05-18T01:59:57.924347Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3c422f56f001c745fe23fde72ce5f7854994e3c16ce295237db2864f8225997

Aliases

arxiv: 1501.00297 · arxiv_version: 1501.00297v2 · doi: 10.48550/arxiv.1501.00297 · pith_short_12: YPCCF5LPAAOH · pith_short_16: YPCCF5LPAAOHIX7C · pith_short_8: YPCCF5LP

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/YPCCF5LPAAOHIX7CH7PHFTS7PB \
  | 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: c3c422f56f001c745fe23fde72ce5f7854994e3c16ce295237db2864f8225997

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8f7e46e762f4fd22657c393d95fd23b7dc323677555d463a1fd318321395b6c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2015-01-01T18:21:10Z",
    "title_canon_sha256": "4abcb8e9122fc2a7793fb969a5feb1d76d6c7c3d154a65e382e928c4edaee847"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.00297",
    "kind": "arxiv",
    "version": 2
  }
}