Pith Number

pith:TYZDIC3X

pith:2012:TYZDIC3X73UXRFP3Q6R3PTW2SI

not attested not anchored not stored refs pending

Cubic hypersurfaces and a version of the circle method for number fields

Pankaj Vishe, Tim Browning

arxiv:1207.2385 v2 · 2012-07-10 · 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{TYZDIC3X73UXRFP3Q6R3PTW2SI}

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	2026-05-18T02:29:32.595118Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e32340b77fee97895fb87a3b7ceda9237aae80b36ad8b85b072e7db04d8e7c2

Aliases

arxiv: 1207.2385 · arxiv_version: 1207.2385v2 · doi: 10.48550/arxiv.1207.2385 · pith_short_12: TYZDIC3X73UX · pith_short_16: TYZDIC3X73UXRFP3 · pith_short_8: TYZDIC3X

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/TYZDIC3X73UXRFP3Q6R3PTW2SI \
  | 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: 9e32340b77fee97895fb87a3b7ceda9237aae80b36ad8b85b072e7db04d8e7c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5df8df8f7a48b1f9667ac5507b96842a217f60da2e3a1a7d2993c4fdd82ce33e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-07-10T15:11:59Z",
    "title_canon_sha256": "b7055d9a2289cc740e08123a745a122a091c32cf3b4bae54f30a6328f0480099"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.2385",
    "kind": "arxiv",
    "version": 2
  }
}