Pith Number

pith:HFH3DRKE

pith:2015:HFH3DRKECJCVHLQSFVYZ62RR4Q

not attested not anchored not stored refs pending

The Acyclicity of the Frobenius Functor for Modules of Finite Flat Dimension

Marcus Webb, Thomas Marley

arxiv:1501.00336 v2 · 2015-01-02 · 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{HFH3DRKECJCVHLQSFVYZ62RR4Q}

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	2026-05-18T02:30:07.477429Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

394fb1c544124553ae122d719f6a31e43e016499b063a777e699de72eb3516be

Aliases

arxiv: 1501.00336 · arxiv_version: 1501.00336v2 · doi: 10.48550/arxiv.1501.00336 · pith_short_12: HFH3DRKECJCV · pith_short_16: HFH3DRKECJCVHLQS · pith_short_8: HFH3DRKE

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/HFH3DRKECJCVHLQSFVYZ62RR4Q \
  | 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: 394fb1c544124553ae122d719f6a31e43e016499b063a777e699de72eb3516be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dbc021a4c6fd093fbca1065c9c28a9bab18ce37643aadab593c28534988a2851",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2015-01-02T02:09:06Z",
    "title_canon_sha256": "7ebefe2402ae2a18e9e35e189668fc0a9f469231e847fceafb7dd1703b9192c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.00336",
    "kind": "arxiv",
    "version": 2
  }
}