Pith Number

pith:P5EBTYWT

pith:2017:P5EBTYWTR7QX7MTVGABJFQGVMP

not attested not anchored not stored refs pending

Ballot tilings and increasing trees

Keiichi Shigechi

arxiv:1705.06434 v1 · 2017-05-18 · math-ph · math.CO · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P5EBTYWTR7QX7MTVGABJFQGVMP}

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	2026-05-18T00:44:14.769729Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f4819e2d38fe17fb275300292c0d563f0ad9ad62d6c97ab6732b626386a5948

Aliases

arxiv: 1705.06434 · arxiv_version: 1705.06434v1 · doi: 10.48550/arxiv.1705.06434 · pith_short_12: P5EBTYWTR7QX · pith_short_16: P5EBTYWTR7QX7MTV · pith_short_8: P5EBTYWT

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/P5EBTYWTR7QX7MTVGABJFQGVMP \
  | 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: 7f4819e2d38fe17fb275300292c0d563f0ad9ad62d6c97ab6732b626386a5948

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3238548c09f42c6659fa504a22ed8f6fcc29cd0e96f808435e35c8eb48e98697",
    "cross_cats_sorted": [
      "math.CO",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-05-18T06:46:09Z",
    "title_canon_sha256": "92e6d39d2fc045306cc7b3982b0a05b2b385b9d91afe889796df8af752f2b65a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.06434",
    "kind": "arxiv",
    "version": 1
  }
}