Pith Number

pith:BYAPBDN3

pith:2017:BYAPBDN3FPWDWHOZAJIWWC4MMO

not attested not anchored not stored refs pending

On weighted depths in random binary search trees

Anis Amri, Henning Sulzbach, Rafik Aguech

arxiv:1707.00165 v1 · 2017-07-01 · math.PR · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BYAPBDN3FPWDWHOZAJIWWC4MMO}

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	2026-05-18T00:41:04.262693Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e00f08dbb2bec3b1dd902516b0b8c639a0b3b1da416318a73ea27612d213da9

Aliases

arxiv: 1707.00165 · arxiv_version: 1707.00165v1 · doi: 10.48550/arxiv.1707.00165 · pith_short_12: BYAPBDN3FPWD · pith_short_16: BYAPBDN3FPWDWHOZ · pith_short_8: BYAPBDN3

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/BYAPBDN3FPWDWHOZAJIWWC4MMO \
  | 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: 0e00f08dbb2bec3b1dd902516b0b8c639a0b3b1da416318a73ea27612d213da9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "011abe90d8d252849134d1d3d0ddcbcfdf3c92d234f9bbf3c7ddaa6899618755",
    "cross_cats_sorted": [
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-07-01T15:03:22Z",
    "title_canon_sha256": "7cde5233cc230a50cbcc7cdd2382951a345443e5d967df0ec752fff2c6de18c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.00165",
    "kind": "arxiv",
    "version": 1
  }
}