Pith Number

pith:3IG5TVMY

pith:2019:3IG5TVMYWRQZCPBBB3FFJOKVCB

not attested not anchored not stored refs pending

Protection numbers in simply generated trees and P\'olya trees

Bernhard Gittenberger, Isabella Larcher, Ma{\l}gorzata Sulkowska, Zbigniew Go{\l}\k{e}biewski

arxiv:1904.03519 v1 · 2019-04-06 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3IG5TVMYWRQZCPBBB3FFJOKVCB}

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	2026-05-17T23:49:13.114496Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da0dd9d598b461913c210eca54b955104b40fdd9f8e7f4c94f89f023a987ed57

Aliases

arxiv: 1904.03519 · arxiv_version: 1904.03519v1 · doi: 10.48550/arxiv.1904.03519 · pith_short_12: 3IG5TVMYWRQZ · pith_short_16: 3IG5TVMYWRQZCPBB · pith_short_8: 3IG5TVMY

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/3IG5TVMYWRQZCPBBB3FFJOKVCB \
  | 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: da0dd9d598b461913c210eca54b955104b40fdd9f8e7f4c94f89f023a987ed57

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad7fa5cb3808c42d5b166cef021891db61acc8b4b84292be80e2c5c212b39417",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-04-06T19:58:27Z",
    "title_canon_sha256": "835902952d2865a03f855739f689c7084eafddb5342d49a3d68c78cb5e5511a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.03519",
    "kind": "arxiv",
    "version": 1
  }
}