Pith Number

pith:KTFZACWJ

pith:2013:KTFZACWJK5BVZYDEGVL5SO5OLD

not attested not anchored not stored refs pending

Symmetries of statistics on lattice paths between two boundaries

Martin Rubey, Sergi Elizalde

arxiv:1305.2206 v2 · 2013-05-09 · 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{KTFZACWJK5BVZYDEGVL5SO5OLD}

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	2026-05-18T01:26:03.209473Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54cb900ac957435ce0643557d93bae58e1a019850e7b0896203af93942ce14d8

Aliases

arxiv: 1305.2206 · arxiv_version: 1305.2206v2 · doi: 10.48550/arxiv.1305.2206 · pith_short_12: KTFZACWJK5BV · pith_short_16: KTFZACWJK5BVZYDE · pith_short_8: KTFZACWJ

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/KTFZACWJK5BVZYDEGVL5SO5OLD \
  | 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: 54cb900ac957435ce0643557d93bae58e1a019850e7b0896203af93942ce14d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03e5a4668918194cdca61ed6f0e12147d20368be6f3a51c821aa91ea335493fc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-05-09T20:13:43Z",
    "title_canon_sha256": "900a01510e98add48fc50dbdc9e74463ae4269402da60b1f3e78eb92a5af1f36"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.2206",
    "kind": "arxiv",
    "version": 2
  }
}