Pith Number

pith:YKFTTXCG

pith:2012:YKFTTXCGEFNWDQ4HQUSB4NWNF2

not attested not anchored not stored refs pending

Homology of artinian and mini-max modules, II

Bethany Kubik, Micah Leamer, Sean Sather-Wagstaff

arxiv:1208.5534 v1 · 2012-08-28 · 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{YKFTTXCGEFNWDQ4HQUSB4NWNF2}

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	2026-05-18T03:46:58.438382Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c28b39dc46215b61c38785241e36cd2e940493b2b295cebe9e0f3bb8c93798b6

Aliases

arxiv: 1208.5534 · arxiv_version: 1208.5534v1 · doi: 10.48550/arxiv.1208.5534 · pith_short_12: YKFTTXCGEFNW · pith_short_16: YKFTTXCGEFNWDQ4H · pith_short_8: YKFTTXCG

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/YKFTTXCGEFNWDQ4HQUSB4NWNF2 \
  | 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: c28b39dc46215b61c38785241e36cd2e940493b2b295cebe9e0f3bb8c93798b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44c1873ef05385fb29ff4caefae0ab16f4d1c3a413a5cdae386a821d08dc6018",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2012-08-28T01:43:49Z",
    "title_canon_sha256": "a40b547ecc4fedec28fc96fbfc2d69fcba62496536c86a080884e6bdbf38ddf8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.5534",
    "kind": "arxiv",
    "version": 1
  }
}