Pith Number

pith:CSHZQ4JP

pith:2018:CSHZQ4JPMV7POT2CSVS3QM6KDT

not attested not anchored not stored refs pending

Hypergraphs with few Berge paths of fixed length between vertices

Michael Tait, Zhiyang He

arxiv:1807.10177 v2 · 2018-07-26 · 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{CSHZQ4JPMV7POT2CSVS3QM6KDT}

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	2026-05-17T23:52:41.454556Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

148f98712f657ef74f429565b833ca1ccda4955fc2d0bd3cce3879ff633cdf5f

Aliases

arxiv: 1807.10177 · arxiv_version: 1807.10177v2 · doi: 10.48550/arxiv.1807.10177 · pith_short_12: CSHZQ4JPMV7P · pith_short_16: CSHZQ4JPMV7POT2C · pith_short_8: CSHZQ4JP

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/CSHZQ4JPMV7POT2CSVS3QM6KDT \
  | 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: 148f98712f657ef74f429565b833ca1ccda4955fc2d0bd3cce3879ff633cdf5f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "573df67b4db16200f3c84e1a1f86e55e65435606faf9a8fb6a2536543c9ae991",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-07-26T14:54:46Z",
    "title_canon_sha256": "37e01dd09c57ffc9428610256d528a84b060030ed26537f98e19e4c3e7ad27a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.10177",
    "kind": "arxiv",
    "version": 2
  }
}