Pith Number

pith:BCGLPEKM

pith:2015:BCGLPEKMRYKCH5KNLHDH7TAPIW

not attested not anchored not stored refs pending

On the arithmetic of abelian varieties

Akio Tamagawa, Mohamed saidi

arxiv:1512.00773 v2 · 2015-12-02 · 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{BCGLPEKMRYKCH5KNLHDH7TAPIW}

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	2026-05-18T00:08:16.419215Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

088cb7914c8e1423f54d59c67fcc0f45977f2f43ba3d4dd4769cb286559ce305

Aliases

arxiv: 1512.00773 · arxiv_version: 1512.00773v2 · doi: 10.48550/arxiv.1512.00773 · pith_short_12: BCGLPEKMRYKC · pith_short_16: BCGLPEKMRYKCH5KN · pith_short_8: BCGLPEKM

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/BCGLPEKMRYKCH5KNLHDH7TAPIW \
  | 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: 088cb7914c8e1423f54d59c67fcc0f45977f2f43ba3d4dd4769cb286559ce305

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c0146fc9d72a1295d0ead700cbdce34d67ccfdcde8d247f9636acf36d059448",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-12-02T16:54:04Z",
    "title_canon_sha256": "9c78ad73e5cbf4fbf72960df5d636be66c3f730230efbe7daede3c315113bd0e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.00773",
    "kind": "arxiv",
    "version": 2
  }
}