Pith Number

pith:J4RXHKEC

pith:2008:J4RXHKECTLEOP6OU2OAWDE2LY7

not attested not anchored not stored refs pending

Trees of definable sets over the p-adics

Immanuel Halupczok

arxiv:0806.4469 v1 · 2008-06-27 · math.AG · math.LO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J4RXHKECTLEOP6OU2OAWDE2LY7}

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	2026-05-18T04:40:46.565786Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f2373a8829ac8e7f9d4d38161934bc7c931beae761dd834ba9f6bba612296ef

Aliases

arxiv: 0806.4469 · arxiv_version: 0806.4469v1 · doi: 10.48550/arxiv.0806.4469 · pith_short_12: J4RXHKECTLEO · pith_short_16: J4RXHKECTLEOP6OU · pith_short_8: J4RXHKEC

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/J4RXHKECTLEOP6OU2OAWDE2LY7 \
  | 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: 4f2373a8829ac8e7f9d4d38161934bc7c931beae761dd834ba9f6bba612296ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e2a905eddb336537a4efb88ac54cf1793cfaeeebedc03ca2e28c61c303d42395",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2008-06-27T09:40:21Z",
    "title_canon_sha256": "f57b909a5c2ed606320012d7cfa9ac7ac6f668399346cc81eca72d7f5d01c4fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0806.4469",
    "kind": "arxiv",
    "version": 1
  }
}