Pith Number

pith:3BE42OWH

pith:2016:3BE42OWHALOJW2KZMYT6G44XRU

not attested not anchored not stored refs pending

Inducibility in binary trees and crossings in random tanglegrams

\'Eva Czabarka, L\'aszl\'o A. Sz\'ekely, Stephan Wagner

arxiv:1601.07149 v1 · 2016-01-26 · 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{3BE42OWHALOJW2KZMYT6G44XRU}

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	2026-05-18T01:21:57.288296Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d849cd3ac702dc9b69596627e373978d208dc0acae348b5b0010c7dd7c4d0634

Aliases

arxiv: 1601.07149 · arxiv_version: 1601.07149v1 · doi: 10.48550/arxiv.1601.07149 · pith_short_12: 3BE42OWHALOJ · pith_short_16: 3BE42OWHALOJW2KZ · pith_short_8: 3BE42OWH

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/3BE42OWHALOJW2KZMYT6G44XRU \
  | 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: d849cd3ac702dc9b69596627e373978d208dc0acae348b5b0010c7dd7c4d0634

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f7c11f8c85467d98edd78301af83750c9be2652839982e871a26425aaa352819",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-01-26T20:14:37Z",
    "title_canon_sha256": "95998bec59defe76601d00846e40d64a271da9beff8908175d863c1e278753da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.07149",
    "kind": "arxiv",
    "version": 1
  }
}