Pith Number

pith:FNLXYBCU

pith:2012:FNLXYBCU5WUZZEOCPS7KKKEP6I

not attested not anchored not stored refs pending

The Distribution of Heights of Discrete Excursions

Uwe Schwerdtfeger

arxiv:1208.1367 v2 · 2012-08-07 · 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{FNLXYBCU5WUZZEOCPS7KKKEP6I}

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	2026-05-18T03:48:58.404072Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b577c0454eda99c91c27cbea5288ff20101ceae7bee2664d27da0bfdecba8cc

Aliases

arxiv: 1208.1367 · arxiv_version: 1208.1367v2 · doi: 10.48550/arxiv.1208.1367 · pith_short_12: FNLXYBCU5WUZ · pith_short_16: FNLXYBCU5WUZZEOC · pith_short_8: FNLXYBCU

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/FNLXYBCU5WUZZEOCPS7KKKEP6I \
  | 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: 2b577c0454eda99c91c27cbea5288ff20101ceae7bee2664d27da0bfdecba8cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b1b0b98073d1986ec49bd7dbc38ddbe8b367f48556ee1fb5c52fc0ccfda5b7e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-08-07T08:52:03Z",
    "title_canon_sha256": "04ee83ed3fa0590f437eb3f611c69ea820c230ea873b498b3cdf8f824812b8c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.1367",
    "kind": "arxiv",
    "version": 2
  }
}