Pith Number

pith:WX5N5H7I

pith:2010:WX5N5H7IWTYM4GAKZBIJQQI6NE

not attested not anchored not stored refs pending

Motivic zeta functions for degenerations of abelian varieties and Calabi-Yau varieties

Johannes Nicaise, Lars Halvard Halle

arxiv:1012.4969 v2 · 2010-12-22 · 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{WX5N5H7IWTYM4GAKZBIJQQI6NE}

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	2026-05-18T03:44:36.417313Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5fade9fe8b4f0ce180ac85098411e690094cbbd537ea0b627a6f28c6945c9b6

Aliases

arxiv: 1012.4969 · arxiv_version: 1012.4969v2 · doi: 10.48550/arxiv.1012.4969 · pith_short_12: WX5N5H7IWTYM · pith_short_16: WX5N5H7IWTYM4GAK · pith_short_8: WX5N5H7I

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/WX5N5H7IWTYM4GAKZBIJQQI6NE \
  | 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: b5fade9fe8b4f0ce180ac85098411e690094cbbd537ea0b627a6f28c6945c9b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6019d93a921a3a58a472205b47aa23a95e68d43f0d1c65da83e04a99b10c218",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-12-22T13:30:10Z",
    "title_canon_sha256": "173e33d8da7311634b1dbee66ecfd93f892c022524961622044dac2674e2e988"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.4969",
    "kind": "arxiv",
    "version": 2
  }
}