Pith Number

pith:G333U7VV

pith:2015:G333U7VVBVCFQ5L2MY6AL33QS7

not attested not anchored not stored refs pending

Test module filtrations for unit $F$-modules

Axel St\"abler

arxiv:1507.00944 v2 · 2015-07-03 · math.AG · 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{G333U7VVBVCFQ5L2MY6AL33QS7}

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	2026-05-18T01:03:20.435226Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36f7ba7eb50d4458757a663c05ef7097de49747939244518a3132f6b17612104

Aliases

arxiv: 1507.00944 · arxiv_version: 1507.00944v2 · doi: 10.48550/arxiv.1507.00944 · pith_short_12: G333U7VVBVCF · pith_short_16: G333U7VVBVCFQ5L2 · pith_short_8: G333U7VV

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/G333U7VVBVCFQ5L2MY6AL33QS7 \
  | 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: 36f7ba7eb50d4458757a663c05ef7097de49747939244518a3132f6b17612104

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "27a4cf4b4dc35a5fb9668d464ad156ea302dfba9735d21e82f301b138bddf237",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-07-03T15:24:19Z",
    "title_canon_sha256": "307438fffdf4b3e8089784c7e7c037d8ebf4d63aa0534de6b4e5e8153331d62d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.00944",
    "kind": "arxiv",
    "version": 2
  }
}