Pith Number

pith:PKGD7LL5

pith:2007:PKGD7LL5PRFVX345HHJH5LCGWI

not attested not anchored not stored refs pending

Renewals for exponentially increasing lifetimes, with an application to digital search trees

Florian Dennert, Rudolf Gr\"ubel

arxiv:0704.0398 v1 · 2007-04-03 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PKGD7LL5PRFVX345HHJH5LCGWI}

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	2026-05-18T01:09:24.960503Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a8c3fad7d7c4b5bef9d39d27eac46b2352b613019d78fa7872bc6f63d11a944

Aliases

arxiv: 0704.0398 · arxiv_version: 0704.0398v1 · doi: 10.48550/arxiv.0704.0398 · pith_short_12: PKGD7LL5PRFV · pith_short_16: PKGD7LL5PRFVX345 · pith_short_8: PKGD7LL5

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/PKGD7LL5PRFVX345HHJH5LCGWI \
  | 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: 7a8c3fad7d7c4b5bef9d39d27eac46b2352b613019d78fa7872bc6f63d11a944

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5789040fd4ab40e780855dc4dbd92b6998e81f8c0ae248dc791e279b070b1874",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2007-04-03T13:57:00Z",
    "title_canon_sha256": "63eac81a916b7e3ac1858aae32f8d11d5a2bc56363eedd55206b0472cc321c03"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0704.0398",
    "kind": "arxiv",
    "version": 1
  }
}