Pith Number

pith:U62ZDU7Z

pith:2012:U62ZDU7ZRDJ2MK5S3RLVGP4MZI

not attested not anchored not stored refs pending

Algebraic and combinatorial structures on pairs of twin binary trees

Samuele Giraudo

arxiv:1204.4776 v1 · 2012-04-21 · 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{U62ZDU7ZRDJ2MK5S3RLVGP4MZI}

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	2026-05-18T03:57:15.392537Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7b591d3f988d3a62bb2dc57533f8cca0183b181b44b4c7138858cc8c5db7707

Aliases

arxiv: 1204.4776 · arxiv_version: 1204.4776v1 · doi: 10.48550/arxiv.1204.4776 · pith_short_12: U62ZDU7ZRDJ2 · pith_short_16: U62ZDU7ZRDJ2MK5S · pith_short_8: U62ZDU7Z

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/U62ZDU7ZRDJ2MK5S3RLVGP4MZI \
  | 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: a7b591d3f988d3a62bb2dc57533f8cca0183b181b44b4c7138858cc8c5db7707

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a3805ccc1f82dc67f37aa91c53f71822a86068b19abec161f46a3a97695455a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-04-21T04:38:51Z",
    "title_canon_sha256": "775b4fe31da3b7590a0ad1287e8fe883e9a081c50040a6d9961e94177be3e905"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.4776",
    "kind": "arxiv",
    "version": 1
  }
}