Pith Number

pith:5Y4NKRYT

pith:2015:5Y4NKRYTS54XGDT3CRY3BOYFT7

not attested not anchored not stored refs pending

Logarithmic good reduction, monodromy and the rational volume

Arne Smeets

arxiv:1502.06495 v5 · 2015-02-23 · 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{5Y4NKRYTS54XGDT3CRY3BOYFT7}

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	2026-05-18T00:51:37.844184Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee38d547139779730e7b1471b0bb059ff54bdc3544f9b38739b1ae21f28a811d

Aliases

arxiv: 1502.06495 · arxiv_version: 1502.06495v5 · doi: 10.48550/arxiv.1502.06495 · pith_short_12: 5Y4NKRYTS54X · pith_short_16: 5Y4NKRYTS54XGDT3 · pith_short_8: 5Y4NKRYT

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/5Y4NKRYTS54XGDT3CRY3BOYFT7 \
  | 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: ee38d547139779730e7b1471b0bb059ff54bdc3544f9b38739b1ae21f28a811d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af1c38b285c901b2061cf3da0550ded7dfd3d497217eaa41512d9aca67e21dd5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-02-23T16:43:37Z",
    "title_canon_sha256": "f5bda5a21b4facf9b275046456659e61736dd85e81b82eaedfb2fe175b4bfb8c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.06495",
    "kind": "arxiv",
    "version": 5
  }
}