Pith Number

pith:AAFCHI3F

pith:2003:AAFCHI3FQT6QN2VHNY57B6T7MI

not attested not anchored not stored refs pending

Le radical unipotent du groupe de Galois motivique d'un 1-motif

Cristiana Bertolin

arxiv:math/0305046 v1 · 2003-05-02 · 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{AAFCHI3FQT6QN2VHNY57B6T7MI}

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	2026-05-18T03:53:42.876809Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

000a23a36584fd06eaa76e3bf0fa7f6236a515ff4255dce2608c7f2e02621f62

Aliases

arxiv: math/0305046 · arxiv_version: math/0305046v1 · doi: 10.48550/arxiv.math/0305046 · pith_short_12: AAFCHI3FQT6Q · pith_short_16: AAFCHI3FQT6QN2VH · pith_short_8: AAFCHI3F

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/AAFCHI3FQT6QN2VHNY57B6T7MI \
  | 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: 000a23a36584fd06eaa76e3bf0fa7f6236a515ff4255dce2608c7f2e02621f62

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eafae094150713e0e9b7822ab6149d6e91130aaa991c238af38b1f2d551a6bb4",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2003-05-02T12:49:27Z",
    "title_canon_sha256": "23ab9434f8190cf738aac74c565aca323f899c48b3e919d72d6bf2bccc0211b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0305046",
    "kind": "arxiv",
    "version": 1
  }
}