Pith Number

pith:WAXUYYWC

pith:2017:WAXUYYWC5XWQY3VFBFD6IWQO2X

not attested not anchored not stored refs pending

Geometric Manin's Conjecture and rational curves

Brian Lehmann, Sho Tanimoto

arxiv:1702.08508 v3 · 2017-02-27 · 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{WAXUYYWC5XWQY3VFBFD6IWQO2X}

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	2026-05-17T23:48:24.000146Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b02f4c62c2eded0c6ea50947e45a0ed5c940656d21548c241a09f1707a3e9479

Aliases

arxiv: 1702.08508 · arxiv_version: 1702.08508v3 · doi: 10.48550/arxiv.1702.08508 · pith_short_12: WAXUYYWC5XWQ · pith_short_16: WAXUYYWC5XWQY3VF · pith_short_8: WAXUYYWC

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/WAXUYYWC5XWQY3VFBFD6IWQO2X \
  | 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: b02f4c62c2eded0c6ea50947e45a0ed5c940656d21548c241a09f1707a3e9479

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2146a331a4b35b952eb11cfabadae9ee7ae748d956628f4a922accf6ae5315ed",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-02-27T20:10:15Z",
    "title_canon_sha256": "46ea152b7cc7d65cd3384bf8100e8b352c96255515f76150f931ac3292a164f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.08508",
    "kind": "arxiv",
    "version": 3
  }
}