Pith Number

pith:ZQ4LYUKP

pith:2011:ZQ4LYUKPNNYSJPASYNC6VHZQ2V

not attested not anchored not stored refs pending

Exact Sequences in Non-Exact Categories (An Application to Semimodules)

Jawad Abuhlail

arxiv:1111.0330 v1 · 2011-11-01 · 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{ZQ4LYUKPNNYSJPASYNC6VHZQ2V}

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	2026-05-18T04:09:45.252822Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc38bc514f6b7124bc12c345ea9f30d54e8c63d24f9e968a9b587c79d6e82f94

Aliases

arxiv: 1111.0330 · arxiv_version: 1111.0330v1 · doi: 10.48550/arxiv.1111.0330 · pith_short_12: ZQ4LYUKPNNYS · pith_short_16: ZQ4LYUKPNNYSJPAS · pith_short_8: ZQ4LYUKP

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/ZQ4LYUKPNNYSJPASYNC6VHZQ2V \
  | 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: cc38bc514f6b7124bc12c345ea9f30d54e8c63d24f9e968a9b587c79d6e82f94

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70279a3b9f6e002da215d81abc153c04ef8bab62fef73c70703dc77bdade0ba7",
    "cross_cats_sorted": [
      "math.KT",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2011-11-01T22:28:39Z",
    "title_canon_sha256": "04921805b68ac537e891e1d58165bd8960810c8679c08749899ec5c12dcde0f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.0330",
    "kind": "arxiv",
    "version": 1
  }
}