Pith Number

pith:XYDRMMOR

pith:2014:XYDRMMORG3QQ36B5BH7GJ2BKXD

not attested not anchored not stored refs pending

A short proof of the Deutsch-Sagan congruence for connected non crossing graphs

Ira M. Gessel

arxiv:1403.7656 v1 · 2014-03-29 · 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{XYDRMMORG3QQ36B5BH7GJ2BKXD}

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	2026-05-18T02:55:12.763157Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be071631d136e10df83d09fe64e82ab8d09ca3b8301689786161a07f4e75e240

Aliases

arxiv: 1403.7656 · arxiv_version: 1403.7656v1 · doi: 10.48550/arxiv.1403.7656 · pith_short_12: XYDRMMORG3QQ · pith_short_16: XYDRMMORG3QQ36B5 · pith_short_8: XYDRMMOR

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/XYDRMMORG3QQ36B5BH7GJ2BKXD \
  | 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: be071631d136e10df83d09fe64e82ab8d09ca3b8301689786161a07f4e75e240

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85a041b3e6f93dc934330e854a3330a178a5a4674030ada3dbd425b27ba86bb9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-03-29T18:11:44Z",
    "title_canon_sha256": "fc4f522f4cb5371a9fa942fc749521e34b8554eae1c903a4ee63f32cc4ba36b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.7656",
    "kind": "arxiv",
    "version": 1
  }
}