Pith Number

pith:5TGESXPC

pith:2017:5TGESXPCY2VQ5PQ7324CY3LBWQ

not attested not anchored not stored refs pending

Second Representable Modules over Commutative Rings

Hamzah Hroub, Jawad Abuhlail

arxiv:1712.00845 v1 · 2017-12-03 · math.AC · 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{5TGESXPCY2VQ5PQ7324CY3LBWQ}

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	2026-05-18T00:29:00.232941Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eccc495de2c6ab0ebe1fdeb82c6d61b40263e5d1df54ea55d7f3eb402c4b8130

Aliases

arxiv: 1712.00845 · arxiv_version: 1712.00845v1 · doi: 10.48550/arxiv.1712.00845 · pith_short_12: 5TGESXPCY2VQ · pith_short_16: 5TGESXPCY2VQ5PQ7 · pith_short_8: 5TGESXPC

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/5TGESXPCY2VQ5PQ7324CY3LBWQ \
  | 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: eccc495de2c6ab0ebe1fdeb82c6d61b40263e5d1df54ea55d7f3eb402c4b8130

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e0b52add7efcba1038ea710480e6b0c9a0e526369c9b3cd46325986e79dce65",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2017-12-03T22:21:06Z",
    "title_canon_sha256": "64285d322690f38bc2f4344d3991001d9de246b581968c89318bb6b568cabf98"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.00845",
    "kind": "arxiv",
    "version": 1
  }
}