Pith Number

pith:EPL6B3XD

pith:2012:EPL6B3XDAHL6NSSCRGJMVCG6UX

not attested not anchored not stored refs pending

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

Anders Claesson, Anna de Mier, Sergey Kitaev

arxiv:1210.3219 v2 · 2012-10-11 · 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{EPL6B3XDAHL6NSSCRGJMVCG6UX}

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	2026-05-18T03:20:09.584457Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

23d7e0eee301d7e6ca428992ca88dea5d9979e6b0f935d6e2222c0557b46b68a

Aliases

arxiv: 1210.3219 · arxiv_version: 1210.3219v2 · doi: 10.48550/arxiv.1210.3219 · pith_short_12: EPL6B3XDAHL6 · pith_short_16: EPL6B3XDAHL6NSSC · pith_short_8: EPL6B3XD

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/EPL6B3XDAHL6NSSCRGJMVCG6UX \
  | 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: 23d7e0eee301d7e6ca428992ca88dea5d9979e6b0f935d6e2222c0557b46b68a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83554d31dcbc8056576721520e07dd01150bf888a490b6008f5ed77b01e72dd1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-10-11T12:59:43Z",
    "title_canon_sha256": "76a706a1d75a6ee7e0c002d819218b84b4a43acdf6dcc91a60ee0daf810f6cec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.3219",
    "kind": "arxiv",
    "version": 2
  }
}