Pith Number

pith:HVJNLXM6

pith:2012:HVJNLXM6TF2VQYDR56LAHUJBZD

not attested not anchored not stored refs pending

Smash nilpotent cycles on products of curves

Ronnie Sebastian

arxiv:1207.7344 v2 · 2012-07-31 · 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{HVJNLXM6TF2VQYDR56LAHUJBZD}

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	2026-05-18T03:49:45.254309Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d52d5dd9e9975586071ef9603d121c8f7b6235580f16c4b101007f40b88bada

Aliases

arxiv: 1207.7344 · arxiv_version: 1207.7344v2 · doi: 10.48550/arxiv.1207.7344 · pith_short_12: HVJNLXM6TF2V · pith_short_16: HVJNLXM6TF2VQYDR · pith_short_8: HVJNLXM6

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/HVJNLXM6TF2VQYDR56LAHUJBZD \
  | 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: 3d52d5dd9e9975586071ef9603d121c8f7b6235580f16c4b101007f40b88bada

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21c5bd57b0d1f429a7fc0d2d136393660f2975661dbe6a65bedb1fa251c10b23",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-07-31T19:03:41Z",
    "title_canon_sha256": "4ee5f246eeed2f3b920c0148f1acec30b1932f5ed138af8d1413827d7a7f846e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.7344",
    "kind": "arxiv",
    "version": 2
  }
}