Pith Number

pith:N3ZJHNMN

pith:2012:N3ZJHNMN3C7OZU4WN2DB45YDHM

not attested not anchored not stored refs pending

An involution on \beta(1,0)-trees

Anders Claesson, Einar Steingr\'imsson, Sergey Kitaev

arxiv:1210.1608 v1 · 2012-10-04 · 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{N3ZJHNMN3C7OZU4WN2DB45YDHM}

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	2026-05-18T03:44:01.868852Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ef293b58dd8beecd3966e861e77033b224ed99796152dd1ffde07bfb9a0729d

Aliases

arxiv: 1210.1608 · arxiv_version: 1210.1608v1 · doi: 10.48550/arxiv.1210.1608 · pith_short_12: N3ZJHNMN3C7O · pith_short_16: N3ZJHNMN3C7OZU4W · pith_short_8: N3ZJHNMN

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/N3ZJHNMN3C7OZU4WN2DB45YDHM \
  | 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: 6ef293b58dd8beecd3966e861e77033b224ed99796152dd1ffde07bfb9a0729d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84c662273c933b17a7069ee50a5c442e23b63d418079e93064ed448d141ece8b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-10-04T22:47:16Z",
    "title_canon_sha256": "7b3d48e3937dd95d12dc71c783ac0f951a7833b9725510a7f38411f6f7b93b80"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.1608",
    "kind": "arxiv",
    "version": 1
  }
}