Pith Number

pith:CM3FTPGY

pith:2019:CM3FTPGYW34RN6H4NDRCIHG72P

not attested not anchored not stored refs pending

Distributions of several infinite families of mesh patterns

Philip B. Zhang, Sergey Kitaev, Xutong Zhang

arxiv:1903.00672 v1 · 2019-03-02 · 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{CM3FTPGYW34RN6H4NDRCIHG72P}

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	2026-05-17T23:52:13.741694Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

133659bcd8b6f916f8fc68e2241cdfd3c2ebe436c09d70241448b170010d88c1

Aliases

arxiv: 1903.00672 · arxiv_version: 1903.00672v1 · doi: 10.48550/arxiv.1903.00672 · pith_short_12: CM3FTPGYW34R · pith_short_16: CM3FTPGYW34RN6H4 · pith_short_8: CM3FTPGY

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/CM3FTPGYW34RN6H4NDRCIHG72P \
  | 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: 133659bcd8b6f916f8fc68e2241cdfd3c2ebe436c09d70241448b170010d88c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea90ff97291cd0fa871b34024093c0527a6ffd014c7d609dc2c4334486aa2b33",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-03-02T10:08:05Z",
    "title_canon_sha256": "08928ae5ad5ee153a1a19b0d88cb208e438d0cc6a604930dd85fb38b4f44cba6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.00672",
    "kind": "arxiv",
    "version": 1
  }
}