Pith Number

pith:TOO7VU3D

pith:2016:TOO7VU3DG2OCBJW7JK4Y5JAEAH

not attested not anchored not stored refs pending

Ogus realization of 1-motives

A. Bertapelle, F. Andreatta, L. Barbieri-Viale

arxiv:1610.04341 v2 · 2016-10-14 · math.AG · math.KT · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TOO7VU3DG2OCBJW7JK4Y5JAEAH}

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	2026-05-18T00:18:36.362854Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b9dfad363369c20a6df4ab98ea40401e273f5bf7e6ed9745cf07eb800717a6b

Aliases

arxiv: 1610.04341 · arxiv_version: 1610.04341v2 · doi: 10.48550/arxiv.1610.04341 · pith_short_12: TOO7VU3DG2OC · pith_short_16: TOO7VU3DG2OCBJW7 · pith_short_8: TOO7VU3D

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/TOO7VU3DG2OCBJW7JK4Y5JAEAH \
  | 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: 9b9dfad363369c20a6df4ab98ea40401e273f5bf7e6ed9745cf07eb800717a6b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df04cf99cd8439f946c646980f650fbcdea48f0b479c92c326c09ae79f562d5d",
    "cross_cats_sorted": [
      "math.KT",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-10-14T06:46:33Z",
    "title_canon_sha256": "b76f49879f7bdcdf7ac4ba8a654e084699f5acf0f287287b984bf09aa3f69fe7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.04341",
    "kind": "arxiv",
    "version": 2
  }
}