Pith Number

pith:5ZXRGWK3

pith:2012:5ZXRGWK3N2TL7W35HKUVJS7ZTV

not attested not anchored not stored refs pending

Quadric surface bundles over surfaces

Asher Auel, R. Parimala, V. Suresh

arxiv:1207.4105 v1 · 2012-07-17 · 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{5ZXRGWK3N2TL7W35HKUVJS7ZTV}

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	2026-05-18T03:50:48.994886Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee6f13595b6ea6bfdb7d3aa954cbf99d672e11bd84380f7dc738d89abb6f6392

Aliases

arxiv: 1207.4105 · arxiv_version: 1207.4105v1 · doi: 10.48550/arxiv.1207.4105 · pith_short_12: 5ZXRGWK3N2TL · pith_short_16: 5ZXRGWK3N2TL7W35 · pith_short_8: 5ZXRGWK3

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/5ZXRGWK3N2TL7W35HKUVJS7ZTV \
  | 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: ee6f13595b6ea6bfdb7d3aa954cbf99d672e11bd84380f7dc738d89abb6f6392

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81071e196142f894998ff1c7b0919b019a75d64f167652fe0bde64b272d1f9cd",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-07-17T19:54:41Z",
    "title_canon_sha256": "c05e646e42be048ea09ae3fa4d5a49147921d9229e14078ac51ea2a9bc77edd2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.4105",
    "kind": "arxiv",
    "version": 1
  }
}