Pith Number

pith:N65UWGSQ

pith:2012:N65UWGSQEPHAPMRDBVEFVE3OVK

not attested not anchored not stored refs pending

A refinement for ordered labeled trees

Heesung Shin, Seunghyun Seo

arxiv:1207.3291 v1 · 2012-07-13 · 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{N65UWGSQEPHAPMRDBVEFVE3OVK}

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	2026-07-05T04:06:38.739851Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6fbb4b1a5023ce07b2230d485a936eaab2ef151b878be28888cbb52b83a486a4

Aliases

arxiv: 1207.3291 · arxiv_version: 1207.3291v1 · doi: 10.48550/arxiv.1207.3291 · pith_short_12: N65UWGSQEPHA · pith_short_16: N65UWGSQEPHAPMRD · pith_short_8: N65UWGSQ

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/N65UWGSQEPHAPMRDBVEFVE3OVK \
  | 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: 6fbb4b1a5023ce07b2230d485a936eaab2ef151b878be28888cbb52b83a486a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82998b762c89d126e75274c00f724cedb405a0a50ea7d1eb4d470f68947ceb0b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-07-13T16:11:39Z",
    "title_canon_sha256": "c28ca372d45172fe05d792a3487aef61595e5e26a0e99ca5e61e991ba46b7041"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.3291",
    "kind": "arxiv",
    "version": 1
  }
}