Pith Number

pith:4GJL7X2F

pith:2010:4GJL7X2FOJ42AZTXF6I5QJISPY

not attested not anchored not stored refs pending

Homology of artinian and Matlis reflexive modules, I

Bethany Kubik, Micah J. Leamer, Sean Sather-Wagstaff

arxiv:1010.1278 v1 · 2010-10-06 · 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{4GJL7X2FOJ42AZTXF6I5QJISPY}

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	2026-05-18T04:39:48.993666Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e192bfdf457279a066772f91d825127e2212d7edebbc9fac1c64303b989f03e9

Aliases

arxiv: 1010.1278 · arxiv_version: 1010.1278v1 · doi: 10.48550/arxiv.1010.1278 · pith_short_12: 4GJL7X2FOJ42 · pith_short_16: 4GJL7X2FOJ42AZTX · pith_short_8: 4GJL7X2F

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/4GJL7X2FOJ42AZTXF6I5QJISPY \
  | 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: e192bfdf457279a066772f91d825127e2212d7edebbc9fac1c64303b989f03e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a0db596b912533f968a4eaa4afdc82f878cb1cdb134a07608bce4e91a651f7f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2010-10-06T21:02:52Z",
    "title_canon_sha256": "8102e382663b262165ad618921a891bdf35cdc5594ef3ef11ea0d849ca22576d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.1278",
    "kind": "arxiv",
    "version": 1
  }
}