Pith Number

pith:CROYWBC7

pith:2012:CROYWBC76RK3FE2U36QGQA452V

not attested not anchored not stored refs pending

Exact Sequences of Semimodules over Semirings

Jawad Abuhlail

arxiv:1210.4566 v1 · 2012-10-16 · math.CT · math.KT · 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{CROYWBC76RK3FE2U36QGQA452V}

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	2026-05-18T02:25:05.634105Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

145d8b045ff455b29354dfa068039dd55960a17f05dddc12f52f0f959e2fa9b9

Aliases

arxiv: 1210.4566 · arxiv_version: 1210.4566v1 · doi: 10.48550/arxiv.1210.4566 · pith_short_12: CROYWBC76RK3 · pith_short_16: CROYWBC76RK3FE2U · pith_short_8: CROYWBC7

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/CROYWBC76RK3FE2U36QGQA452V \
  | 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: 145d8b045ff455b29354dfa068039dd55960a17f05dddc12f52f0f959e2fa9b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83f8e7123bbc99c338161bf12d1ea5a0d6cfc8211a75aea8633cf3b83cfc2e7a",
    "cross_cats_sorted": [
      "math.KT",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2012-10-16T20:22:06Z",
    "title_canon_sha256": "2174fe11c6b01f81b1d67319c458b2b87a4fc32eaf5564b6387e029e2c5aed28"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.4566",
    "kind": "arxiv",
    "version": 1
  }
}