Pith Number

pith:O5XRJDEO

pith:2016:O5XRJDEOFCRTZFD5ZITPVGZKWW

not attested not anchored not stored refs pending

Diophantine and tropical geometry, and uniformity of rational points on curves

David Zureick-Brown, Eric Katz, Joseph Rabinoff

arxiv:1606.09618 v2 · 2016-06-30 · math.NT · 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{O5XRJDEOFCRTZFD5ZITPVGZKWW}

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	2026-05-18T00:53:15.614283Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

776f148c8e28a33c947dca26fa9b2ab5bf42a76dbbdb1039502e85f494973488

Aliases

arxiv: 1606.09618 · arxiv_version: 1606.09618v2 · doi: 10.48550/arxiv.1606.09618 · pith_short_12: O5XRJDEOFCRT · pith_short_16: O5XRJDEOFCRTZFD5 · pith_short_8: O5XRJDEO

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/O5XRJDEOFCRTZFD5ZITPVGZKWW \
  | 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: 776f148c8e28a33c947dca26fa9b2ab5bf42a76dbbdb1039502e85f494973488

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae4883f274bc4494ef575b4aa7e4214fa0061442ebb312c03bfbc3605d702250",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-06-30T19:15:51Z",
    "title_canon_sha256": "924e489f5f0ea847a1662855101fe374c61c2ecf9a259323826485be23034956"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.09618",
    "kind": "arxiv",
    "version": 2
  }
}