Pith Number

pith:3VPS5AOW

pith:2026:3VPS5AOWDT33OXNPMAMTUIIBBJ

not attested not anchored not stored refs pending

Partial orders and monotonicity of logarithmic depth and height in preferential attachment trees

Christian M\"onch

arxiv:2602.14741 v2 · 2026-02-16 · 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{3VPS5AOWDT33OXNPMAMTUIIBBJ}

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	2026-05-22T01:03:57.934486Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd5f2e81d61cf7b75daf60193a21010a401b3eb0711028725f2bceaaeb13bd94

Aliases

arxiv: 2602.14741 · arxiv_version: 2602.14741v2 · doi: 10.48550/arxiv.2602.14741 · pith_short_12: 3VPS5AOWDT33 · pith_short_16: 3VPS5AOWDT33OXNP · pith_short_8: 3VPS5AOW

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/3VPS5AOWDT33OXNPMAMTUIIBBJ \
  | 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: dd5f2e81d61cf7b75daf60193a21010a401b3eb0711028725f2bceaaeb13bd94

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f7f97dd17e4a4ef2284b41c502cf660856e019e41a23e77b00f21fbd9f8ff62",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-02-16T13:36:08Z",
    "title_canon_sha256": "3699c2ced63ad83edabd37200e7fbba582957148a2a92589771b3eabb94675e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2602.14741",
    "kind": "arxiv",
    "version": 2
  }
}