Pith Number

pith:WEPE5CIU

pith:2018:WEPE5CIUOUHR4THVNWD5HOYYJH

not attested not anchored not stored refs pending

Factorial rational varieties which admit or fail to admit an elliptic $\mathbb{G}_m$-action

Gene Freudenburg, Takanori Nagamine

arxiv:1812.04979 v1 · 2018-12-12 · 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{WEPE5CIUOUHR4THVNWD5HOYYJH}

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	2026-05-17T23:58:26.734585Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b11e4e8914750f1e4cf56d87d3bb1849e36a2c85a8d38d4e309c6c6d1cd8af17

Aliases

arxiv: 1812.04979 · arxiv_version: 1812.04979v1 · doi: 10.48550/arxiv.1812.04979 · pith_short_12: WEPE5CIUOUHR · pith_short_16: WEPE5CIUOUHR4THV · pith_short_8: WEPE5CIU

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/WEPE5CIUOUHR4THVNWD5HOYYJH \
  | 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: b11e4e8914750f1e4cf56d87d3bb1849e36a2c85a8d38d4e309c6c6d1cd8af17

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a958bbceaf0f09a6a2228303250de777e8f6e3ba7d5dba310ac8501c1f301cd",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-12-12T14:52:21Z",
    "title_canon_sha256": "92a635fad680ac4fab7166d55626e9ed9b7d1f1ab39c5b1e2bcb67da344e2e89"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.04979",
    "kind": "arxiv",
    "version": 1
  }
}