Pith Number

pith:AAXF66J4

pith:2012:AAXF66J4HIAQT2OZMVECYPZUMI

not attested not anchored not stored refs pending

On torsors under elliptic curves and Serre's pro-algebraic structures

Alessandra Bertapelle, Jilong Tong

arxiv:1204.2805 v2 · 2012-04-12 · 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{AAXF66J4HIAQT2OZMVECYPZUMI}

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	2026-05-18T03:06:34.747342Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

002e5f793c3a0109e9d965482c3f346227e038e5153555ec3fbee37a6ea24421

Aliases

arxiv: 1204.2805 · arxiv_version: 1204.2805v2 · doi: 10.48550/arxiv.1204.2805 · pith_short_12: AAXF66J4HIAQ · pith_short_16: AAXF66J4HIAQT2OZ · pith_short_8: AAXF66J4

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/AAXF66J4HIAQT2OZMVECYPZUMI \
  | 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: 002e5f793c3a0109e9d965482c3f346227e038e5153555ec3fbee37a6ea24421

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32fbc4932b0abb070bf76b77213654db09879728d085c202c3e9631a355f7bc9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-04-12T18:28:27Z",
    "title_canon_sha256": "8ff4026e8a5dc3573a6ac63353160cc5425c4801f9d403a703450912f977413b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.2805",
    "kind": "arxiv",
    "version": 2
  }
}