Pith Number

pith:RIGTUE4G

pith:2011:RIGTUE4GQCEDDQ6TH36C6F6XOI

not attested not anchored not stored refs pending

On the number of congruence classes of paths

Jiang Zeng, Zhicong Lin

arxiv:1112.4026 v1 · 2011-12-17 · 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{RIGTUE4GQCEDDQ6TH36C6F6XOI}

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	2026-05-18T04:06:07.164397Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a0d3a1386808831c3d33efc2f17d77202a45a93c273efd9f1c5db0dbd896154

Aliases

arxiv: 1112.4026 · arxiv_version: 1112.4026v1 · doi: 10.48550/arxiv.1112.4026 · pith_short_12: RIGTUE4GQCED · pith_short_16: RIGTUE4GQCEDDQ6T · pith_short_8: RIGTUE4G

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/RIGTUE4GQCEDDQ6TH36C6F6XOI \
  | 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: 8a0d3a1386808831c3d33efc2f17d77202a45a93c273efd9f1c5db0dbd896154

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ca447a9b3e16bedc5c6daa10bd39c9891944b224e3c8bd746a75fd2fa41ea62",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-12-17T05:12:50Z",
    "title_canon_sha256": "3b2a97522d7f4a36e22cec3c4ef9aecda40bace93766d44a186cae302d4a4629"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.4026",
    "kind": "arxiv",
    "version": 1
  }
}