Pith Number

pith:274TLQ35

pith:2010:274TLQ356HDRPIUY7NV6DVQBWK

not attested not anchored not stored refs pending

Labeled Ballot Paths and the Springer Numbers

Jeffrey Y.T. Jia, Neil J.Y. Fan, William Y.C. Chen

arxiv:1009.2233 v1 · 2010-09-12 · 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{274TLQ356HDRPIUY7NV6DVQBWK}

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	2026-05-18T04:41:04.569571Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7f935c37df1c717a298fb6be1d601b2bdcb83cbff9ad61152e96b4b9f82ecc2

Aliases

arxiv: 1009.2233 · arxiv_version: 1009.2233v1 · doi: 10.48550/arxiv.1009.2233 · pith_short_12: 274TLQ356HDR · pith_short_16: 274TLQ356HDRPIUY · pith_short_8: 274TLQ35

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/274TLQ356HDRPIUY7NV6DVQBWK \
  | 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: d7f935c37df1c717a298fb6be1d601b2bdcb83cbff9ad61152e96b4b9f82ecc2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d94b99809371bf7b99c7fbcd9a4d7bd558681b3074b1c0211435b85bb22c2c3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-09-12T12:23:22Z",
    "title_canon_sha256": "9c00927c63b8dd39213a9e93073fb57dc5d57286cdea4f6293d2aba5f8c130d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.2233",
    "kind": "arxiv",
    "version": 1
  }
}