Pith Number

pith:FOWAHZXO

pith:2014:FOWAHZXOENNHXCPTCXNWC4KF3Q

not attested not anchored not stored refs pending

A study of the length function of generalized fractions of modules

Marcel Morales, Pham Hung Quy

arxiv:1405.7240 v1 · 2014-05-28 · 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{FOWAHZXOENNHXCPTCXNWC4KF3Q}

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	2026-05-18T02:50:58.291971Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2bac03e6ee235a7b89f315db617145dc252cce53193728d42f6d6927ccf19f78

Aliases

arxiv: 1405.7240 · arxiv_version: 1405.7240v1 · doi: 10.48550/arxiv.1405.7240 · pith_short_12: FOWAHZXOENNH · pith_short_16: FOWAHZXOENNHXCPT · pith_short_8: FOWAHZXO

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/FOWAHZXOENNHXCPTCXNWC4KF3Q \
  | 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: 2bac03e6ee235a7b89f315db617145dc252cce53193728d42f6d6927ccf19f78

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46985c81aa63075d6da8d7c77f1ddc87cf5ccd3f8d3a5c8fb88d4ce593e0d7bb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2014-05-28T13:54:48Z",
    "title_canon_sha256": "37b64e879d65f4105d18ed45ad151380106df9c2a0b79a2a72c126624f2bca69"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.7240",
    "kind": "arxiv",
    "version": 1
  }
}