Pith Number

pith:2SPPI7OR

pith:2012:2SPPI7ORM3SVQPXHAWZ5CQ36D4

not attested not anchored not stored refs pending

Companion Forms in Parallel Weight One

Payman L Kassaei, Toby Gee

arxiv:1206.6631 v1 · 2012-06-28 · 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{2SPPI7ORM3SVQPXHAWZ5CQ36D4}

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	2026-05-17T23:53:36.161403Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d49ef47dd166e5583ee705b3d1437e1f2ee85f198d6539079f9fc1a0efce1a69

Aliases

arxiv: 1206.6631 · arxiv_version: 1206.6631v1 · doi: 10.48550/arxiv.1206.6631 · pith_short_12: 2SPPI7ORM3SV · pith_short_16: 2SPPI7ORM3SVQPXH · pith_short_8: 2SPPI7OR

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/2SPPI7ORM3SVQPXHAWZ5CQ36D4 \
  | 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: d49ef47dd166e5583ee705b3d1437e1f2ee85f198d6539079f9fc1a0efce1a69

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10a2ec57d0bde1c2994bca1dd6724dd43d5909c9544075893b0e4e1692bd84c1",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-06-28T10:59:17Z",
    "title_canon_sha256": "ac3fed5834b9a8d88b86650cbd3994711c2fd017200804b00a3668ca909a9e41"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.6631",
    "kind": "arxiv",
    "version": 1
  }
}