Pith Number

pith:DYUQHZM7

pith:2019:DYUQHZM7PVZSLRXF465JGLQJZA

not attested not anchored not stored refs pending

Random graphs induced by Catalan pairs

Dani\"el Kroes, Sam Spiro

arxiv:1902.08876 v1 · 2019-02-24 · 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{DYUQHZM7PVZSLRXF465JGLQJZA}

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	2026-05-17T23:52:49.607406Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e2903e59f7d7325c6e5e7ba932e09c800a831d8d3901338f4e7e35a6ad752ee

Aliases

arxiv: 1902.08876 · arxiv_version: 1902.08876v1 · doi: 10.48550/arxiv.1902.08876 · pith_short_12: DYUQHZM7PVZS · pith_short_16: DYUQHZM7PVZSLRXF · pith_short_8: DYUQHZM7

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/DYUQHZM7PVZSLRXF465JGLQJZA \
  | 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: 1e2903e59f7d7325c6e5e7ba932e09c800a831d8d3901338f4e7e35a6ad752ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "938efaf7deb1bd1d88d7ea13be1499ccb7f23e02108efe7b94796cd470875778",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-02-24T02:06:46Z",
    "title_canon_sha256": "1686b2bbea429ae334fcafd34cf3f019fcaf1491e542df26f731eed1a8c279e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.08876",
    "kind": "arxiv",
    "version": 1
  }
}