Pith Number

pith:VLAMOULR

pith:2011:VLAMOULRN4NWOYBKYHZ5COHGHK

not attested not anchored not stored refs pending

On Colmez's product formula for periods of CM-abelian varieties

Andrew Obus

arxiv:1107.0684 v2 · 2011-07-04 · math.NT · 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{VLAMOULRN4NWOYBKYHZ5COHGHK}

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	2026-05-18T02:26:01.379455Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aac0c751716f1b67602ac1f3d138e63a9c3902fb3292d8ffff99eced791e03de

Aliases

arxiv: 1107.0684 · arxiv_version: 1107.0684v2 · doi: 10.48550/arxiv.1107.0684 · pith_short_12: VLAMOULRN4NW · pith_short_16: VLAMOULRN4NWOYBK · pith_short_8: VLAMOULR

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/VLAMOULRN4NWOYBKYHZ5COHGHK \
  | 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: aac0c751716f1b67602ac1f3d138e63a9c3902fb3292d8ffff99eced791e03de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3135cb99834e9152da2bd8f9c21414cb317a60fa127870777e07b47045002ba",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-07-04T17:30:54Z",
    "title_canon_sha256": "994f69d1ebb3ed7e0b20f3c7376c8a4ef7a7360bee4687502f0cb1e354386038"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.0684",
    "kind": "arxiv",
    "version": 2
  }
}