Pith Number

pith:JKQOA4UO

pith:2008:JKQOA4UOFBN6T63M5XOYLRIJHM

not attested not anchored not stored refs pending

Raccord sur les espaces de Berkovich

J\'er\^ome Poineau

arxiv:0809.3656 v4 · 2008-09-22 · 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{JKQOA4UOFBN6T63M5XOYLRIJHM}

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	2026-05-18T04:00:16.285587Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4aa0e0728e285be9fb6ceddd85c5093b1867fa8af02d5e8d952a141fb156746b

Aliases

arxiv: 0809.3656 · arxiv_version: 0809.3656v4 · doi: 10.48550/arxiv.0809.3656 · pith_short_12: JKQOA4UOFBN6 · pith_short_16: JKQOA4UOFBN6T63M · pith_short_8: JKQOA4UO

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/JKQOA4UOFBN6T63M5XOYLRIJHM \
  | 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: 4aa0e0728e285be9fb6ceddd85c5093b1867fa8af02d5e8d952a141fb156746b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e3f1afe7413fddc6bafc0e45c63892e0c78917c5c19546c06c7bd364416cf26",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2008-09-22T08:59:35Z",
    "title_canon_sha256": "05ca32806403a5d588abf1d56482133e44e3cc92499d4ed73ecaa3d1b41bf3a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0809.3656",
    "kind": "arxiv",
    "version": 4
  }
}