Pith Number

pith:M3ISXRA4

pith:2019:M3ISXRA4X4EMJM5WHEPX6IUEYF

not attested not anchored not stored refs pending

Symmetric graphs of valency seven and their basic normal quotient graphs

Chao Wang, Jiangmin Pan, Junjie Huang

arxiv:1906.09755 v1 · 2019-06-24 · 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{M3ISXRA4X4EMJM5WHEPX6IUEYF}

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	2026-05-17T23:42:36.839933Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66d12bc41cbf08c4b3b6391f7f2284c16572d9d2a6e9f4cbc71e67ae92e4f2fd

Aliases

arxiv: 1906.09755 · arxiv_version: 1906.09755v1 · doi: 10.48550/arxiv.1906.09755 · pith_short_12: M3ISXRA4X4EM · pith_short_16: M3ISXRA4X4EMJM5W · pith_short_8: M3ISXRA4

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/M3ISXRA4X4EMJM5WHEPX6IUEYF \
  | 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: 66d12bc41cbf08c4b3b6391f7f2284c16572d9d2a6e9f4cbc71e67ae92e4f2fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fcbbf65b252cccf2cea5581110bbb1421960cd1de0c3f3113d4b524f5c6a3fa7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-06-24T07:21:33Z",
    "title_canon_sha256": "a29d35a7496a4de95c8af9ee5ecc4161f19e3abecb9c6d7e751f2beb867e7e43"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.09755",
    "kind": "arxiv",
    "version": 1
  }
}