Pith Number

pith:POD72RJ2

pith:2018:POD72RJ2AEWJUCKQV22IG4HAGE

not attested not anchored not stored refs pending

Counting rational points on quadric surfaces

D.R. Heath-Brown, T.D. Browning

arxiv:1801.00979 v3 · 2018-01-03 · 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{POD72RJ2AEWJUCKQV22IG4HAGE}

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	2026-05-18T00:06:20.621572Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b87fd453a012c9a0950aeb48370e0313ec1ce3382dd90f4bdc62f9454fb8664

Aliases

arxiv: 1801.00979 · arxiv_version: 1801.00979v3 · doi: 10.48550/arxiv.1801.00979 · pith_short_12: POD72RJ2AEWJ · pith_short_16: POD72RJ2AEWJUCKQ · pith_short_8: POD72RJ2

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/POD72RJ2AEWJUCKQV22IG4HAGE \
  | 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: 7b87fd453a012c9a0950aeb48370e0313ec1ce3382dd90f4bdc62f9454fb8664

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b71d610d542329e83fead8ce5d967cbdcff8d6b6f46f9b59c1c741b26014ee7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-01-03T12:53:21Z",
    "title_canon_sha256": "19123e3630b6cb76c6e93522d95fee3582c24741ec13fa52ba5a32c0df70ddbb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.00979",
    "kind": "arxiv",
    "version": 3
  }
}