Pith Number

pith:Z63IPDOU

pith:2014:Z63IPDOU6XHHEK6TIFVQX2ADIF

not attested not anchored not stored refs pending

Logarithmic stable toric varieties and their moduli

Kenneth Ascher, Samouil Molcho

arxiv:1412.3766 v3 · 2014-12-11 · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z63IPDOU6XHHEK6TIFVQX2ADIF}

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	2026-05-18T01:32:30.465983Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cfb6878dd4f5ce722bd3416b0be80341584677c1f1befbf97d116e729e2078bb

Aliases

arxiv: 1412.3766 · arxiv_version: 1412.3766v3 · doi: 10.48550/arxiv.1412.3766 · pith_short_12: Z63IPDOU6XHH · pith_short_16: Z63IPDOU6XHHEK6T · pith_short_8: Z63IPDOU

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/Z63IPDOU6XHHEK6TIFVQX2ADIF \
  | 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: cfb6878dd4f5ce722bd3416b0be80341584677c1f1befbf97d116e729e2078bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1952a4d66b92276edff552f29dcfce1029c17040fd0756c440e827c046db657",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-12-11T19:10:10Z",
    "title_canon_sha256": "b4329c59d12fe52c5344af1dfc34df00f53c669b4717b30c0153cebb27018daf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.3766",
    "kind": "arxiv",
    "version": 3
  }
}