Pith Number

pith:U5AHMU3J

pith:2014:U5AHMU3JRNUDAXJDWDZTPEAFGW

not attested not anchored not stored refs pending

On the rate of graded modules

Maryam Jahangiri, Rasoul Ahangari Maleki

arxiv:1410.8325 v2 · 2014-10-30 · 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{U5AHMU3JRNUDAXJDWDZTPEAFGW}

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	2026-05-18T00:52:24.179238Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7407653698b68305d23b0f337900535a7388b4b5bca40fb1288156fd19df664

Aliases

arxiv: 1410.8325 · arxiv_version: 1410.8325v2 · doi: 10.48550/arxiv.1410.8325 · pith_short_12: U5AHMU3JRNUD · pith_short_16: U5AHMU3JRNUDAXJD · pith_short_8: U5AHMU3J

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/U5AHMU3JRNUDAXJDWDZTPEAFGW \
  | 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: a7407653698b68305d23b0f337900535a7388b4b5bca40fb1288156fd19df664

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b74f07389f8f07f5f34b599d938992a3a2c2a6b9895c5096806460c411670884",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2014-10-30T10:56:18Z",
    "title_canon_sha256": "598309a2c3bad4c17212f3bc3f0dec065e8c0a47c3b3bfa556a711667b84e5c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.8325",
    "kind": "arxiv",
    "version": 2
  }
}