Pith Number

pith:M6RPJRCQ

pith:2006:M6RPJRCQE72WAXALFNUVN7UAND

not attested not anchored not stored refs pending

Manifolds associated with $(Z_2)^n$-colored regular graphs

Zhi L\"u, Zhiqiang Bao

arxiv:math/0609557 v4 · 2006-09-20 · math.GT · math.CO

Open paper page JSON Open Graph Bundle Merged state What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M6RPJRCQE72WAXALFNUVN7UAND}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T03:50:23.206299Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67a2f4c45027f5605c0b2b6956fe8068c2ae35089a375616ec762bef38c48b71

Aliases

arxiv: math/0609557 · arxiv_version: math/0609557v4 · doi: 10.48550/arxiv.math/0609557 · pith_short_12: M6RPJRCQE72W · pith_short_16: M6RPJRCQE72WAXAL · pith_short_8: M6RPJRCQ

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/M6RPJRCQE72WAXALFNUVN7UAND \
  | 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: 67a2f4c45027f5605c0b2b6956fe8068c2ae35089a375616ec762bef38c48b71

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d05fe13f9912090797a632152b24f45852ed56d326490780e937c1e7d3fba3f4",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2006-09-20T13:40:08Z",
    "title_canon_sha256": "6be791731de0c0189ea8b20fa6471a6ada62e6c68e4f2f2ae4f14cfd3cb77272"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0609557",
    "kind": "arxiv",
    "version": 4
  }
}