Pith Number

pith:ISV2BQQZ

pith:2012:ISV2BQQZ62HTVUQQH6RSKZGV3U

not attested not anchored not stored refs pending

Computing N\'eron-Severi groups and cycle class groups

Bjorn Poonen, Damiano Testa, Ronald van Luijk

arxiv:1210.3720 v4 · 2012-10-13 · math.AG · 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{ISV2BQQZ62HTVUQQH6RSKZGV3U}

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	2026-05-17T23:53:18.402668Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44aba0c219f68f3ad2103fa32564d5dd38aa3cf7c6aa9664698dd68c3b184899

Aliases

arxiv: 1210.3720 · arxiv_version: 1210.3720v4 · doi: 10.48550/arxiv.1210.3720 · pith_short_12: ISV2BQQZ62HT · pith_short_16: ISV2BQQZ62HTVUQQ · pith_short_8: ISV2BQQZ

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/ISV2BQQZ62HTVUQQH6RSKZGV3U \
  | 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: 44aba0c219f68f3ad2103fa32564d5dd38aa3cf7c6aa9664698dd68c3b184899

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cbedf0512daa0bd9c5089ad1332771aa65171f48f4a878778b7de771c66f7f36",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-10-13T16:41:47Z",
    "title_canon_sha256": "1a5a48261ccbcad588a47e5bb6e1ee4894d5bddf8f8d0646cf9af1cd65f9a44c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.3720",
    "kind": "arxiv",
    "version": 4
  }
}