Pith Number

pith:4ZCADAR2

pith:2024:4ZCADAR2XYAO674RXYPLWD6ZYP

not attested not anchored not stored refs pending

A bijection for the evolution of $B$-trees

Fabian Burghart, Stephan Wagner

arxiv:2406.06359 v1 · 2024-06-10 · math.CO · cs.DS · 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{4ZCADAR2XYAO674RXYPLWD6ZYP}

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	2026-07-05T08:29:41.306441Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e64401823abe00ef7f91be1ebb0fd9c3e75f08a7895ce7ad0912b9decc1c73be

Aliases

arxiv: 2406.06359 · arxiv_version: 2406.06359v1 · doi: 10.48550/arxiv.2406.06359 · pith_short_12: 4ZCADAR2XYAO · pith_short_16: 4ZCADAR2XYAO674R · pith_short_8: 4ZCADAR2

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/4ZCADAR2XYAO674RXYPLWD6ZYP \
  | 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: e64401823abe00ef7f91be1ebb0fd9c3e75f08a7895ce7ad0912b9decc1c73be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0dcebd04c434e5dc1b06837da1b134584c176c4d8df9f7f5e4e74e8272424357",
    "cross_cats_sorted": [
      "cs.DS",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-06-10T15:20:18Z",
    "title_canon_sha256": "521929465455ac7c3cf933f3d4982518acb077008b5ec4a8b9db2fdf25a2ac06"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2406.06359",
    "kind": "arxiv",
    "version": 1
  }
}