Pith Number

pith:IP6UBT4A

pith:2016:IP6UBT4AHWCV5VSBT52J5LAXSC

not attested not anchored not stored refs pending

Random self-similar trees and a hierarchical branching process

Ilya Zaliapin, Yevgeniy Kovchegov

arxiv:1608.05032 v4 · 2016-08-17 · math.PR · math.CO · physics.geo-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IP6UBT4AHWCV5VSBT52J5LAXSC}

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	2026-05-18T00:08:23.981327Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43fd40cf803d855ed6419f749eac1790b9ffbd47d7176cf48fa934a7bdd7e3cf

Aliases

arxiv: 1608.05032 · arxiv_version: 1608.05032v4 · doi: 10.48550/arxiv.1608.05032 · pith_short_12: IP6UBT4AHWCV · pith_short_16: IP6UBT4AHWCV5VSB · pith_short_8: IP6UBT4A

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/IP6UBT4AHWCV5VSBT52J5LAXSC \
  | 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: 43fd40cf803d855ed6419f749eac1790b9ffbd47d7176cf48fa934a7bdd7e3cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1f389247411b5b89e99bc93a6c9677c22b3b8882ecdddb90de0c65b010a2eab",
    "cross_cats_sorted": [
      "math.CO",
      "physics.geo-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-08-17T18:03:32Z",
    "title_canon_sha256": "258a1dc943e6a385226b3b3ba07f34bc034eb875dec1631c29e499ed7382c3f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.05032",
    "kind": "arxiv",
    "version": 4
  }
}