Pith Number

pith:PMRII7JB

pith:2026:PMRII7JBD37WTSU3ZOALUR57PJ

not attested not anchored not stored refs pending

Counting Rational Points on Danielewski and Double Danielewski Surfaces over Finite Fields

Anit Kuckian, Indranath Sengupta, Sakshi Gupta

arxiv:2605.24821 v1 · 2026-05-24 · math.NT · math.AC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PMRII7JBD37WTSU3ZOALUR57PJ}

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	2026-05-26T01:04:00.126081Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b22847d211eff69ca9bcb80ba47bf7a5a0977c6c9278824195bd8d21bd59497

Aliases

arxiv: 2605.24821 · arxiv_version: 2605.24821v1 · doi: 10.48550/arxiv.2605.24821 · pith_short_12: PMRII7JBD37W · pith_short_16: PMRII7JBD37WTSU3 · pith_short_8: PMRII7JB

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/PMRII7JBD37WTSU3ZOALUR57PJ \
  | 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: 7b22847d211eff69ca9bcb80ba47bf7a5a0977c6c9278824195bd8d21bd59497

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42913a14358969200fc078c153c4dfdc662b8c7c42110dc0449c14e196793147",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-05-24T02:23:47Z",
    "title_canon_sha256": "fe5aafff3d1ceb4ec0c155ab7baf035492b6edf747cd6ff3649853cf4f400859"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.24821",
    "kind": "arxiv",
    "version": 1
  }
}