Pith Number

pith:LQJHD4WK

pith:2007:LQJHD4WKFKP7LCM72QK6PBKW4S

not attested not anchored not stored refs pending

D\'{e}monstration g\'{e}om\'{e}trique du th\'{e}or\`{e}me de Lang-N\'{e}ron

Bruno Kahn (IMJ)

arxiv:math/0703063 v1 · 2007-03-02 · math.AG · 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{LQJHD4WKFKP7LCM72QK6PBKW4S}

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	2026-05-18T04:41:05.425603Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c1271f2ca2a9ff5899fd415e78556e4a11d226de8216b99c64aaede269a7073

Aliases

arxiv: math/0703063 · arxiv_version: math/0703063v1 · doi: 10.48550/arxiv.math/0703063 · pith_short_12: LQJHD4WKFKP7 · pith_short_16: LQJHD4WKFKP7LCM7 · pith_short_8: LQJHD4WK

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/LQJHD4WKFKP7LCM72QK6PBKW4S \
  | 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: 5c1271f2ca2a9ff5899fd415e78556e4a11d226de8216b99c64aaede269a7073

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f38d3ef2e41f08baf5db08bacbc5e9d9a65c2cab2ef71b7e3d5184f618fbceb1",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2007-03-02T15:50:57Z",
    "title_canon_sha256": "ab588cb9e0d772fb2568204c7103195f7d7644fabbd96837adc0ed099686e94f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0703063",
    "kind": "arxiv",
    "version": 1
  }
}