Pith Number

pith:WCXJBLXG

pith:2012:WCXJBLXG3XKDLRHOMVQNCP4FLU

not attested not anchored not stored refs pending

Purity Relative to Classes of Finitely Presented Modules

Akeel Ramadan Mehdi

arxiv:1205.2677 v1 · 2012-05-11 · 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{WCXJBLXG3XKDLRHOMVQNCP4FLU}

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	2026-05-18T03:55:47.476625Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0ae90aee6ddd435c4ee6560d13f855d13b35f7c748ad5d4fb136fdf2b0cb006

Aliases

arxiv: 1205.2677 · arxiv_version: 1205.2677v1 · doi: 10.48550/arxiv.1205.2677 · pith_short_12: WCXJBLXG3XKD · pith_short_16: WCXJBLXG3XKDLRHO · pith_short_8: WCXJBLXG

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/WCXJBLXG3XKDLRHOMVQNCP4FLU \
  | 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: b0ae90aee6ddd435c4ee6560d13f855d13b35f7c748ad5d4fb136fdf2b0cb006

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be2c0fb894510419356a78d9c809efc15c6ea171d380f8c79aaa25e871764578",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2012-05-11T19:42:20Z",
    "title_canon_sha256": "6c43e501c14127efe0c63a15a639fb94fbc3a77ed0fbb22a9326b65ee1596dab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.2677",
    "kind": "arxiv",
    "version": 1
  }
}