Pith Number

pith:EPADXWEN

pith:2007:EPADXWENGMNXPKDGG5CBKYIYVB

not attested not anchored not stored refs pending

Existence of rational points on smooth projective varieties

Bjorn Poonen

arxiv:0712.1782 v1 · 2007-12-11 · 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{EPADXWENGMNXPKDGG5CBKYIYVB}

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	2026-05-18T00:47:34.259537Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

23c03bd88d331b77a8663744156118a86d8c4c1eb9b3b936b7b917607a4f6bdc

Aliases

arxiv: 0712.1782 · arxiv_version: 0712.1782v1 · doi: 10.48550/arxiv.0712.1782 · pith_short_12: EPADXWENGMNX · pith_short_16: EPADXWENGMNXPKDG · pith_short_8: EPADXWEN

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/EPADXWENGMNXPKDGG5CBKYIYVB \
  | 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: 23c03bd88d331b77a8663744156118a86d8c4c1eb9b3b936b7b917607a4f6bdc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e348b1ef87e3980f6e1eaf7e8827cd9846e4fff5a2dfb4a7942003ce2fde1c9e",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2007-12-11T17:50:46Z",
    "title_canon_sha256": "63e289ea25f32b583c96e97e6338870c410d1e39686e9d414dcdc81274f02a41"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0712.1782",
    "kind": "arxiv",
    "version": 1
  }
}