Pith Number

pith:HASB57N3

pith:2019:HASB57N3G2UJNFUSSTLXRAUWYM

not attested not anchored not stored refs pending

Some resolving parameters in a class of Cayley graphs

Ali Zafari, Jia-Bao Liu

arxiv:1908.07854 v9 · 2019-08-21 · 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{HASB57N3G2UJNFUSSTLXRAUWYM}

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	2026-07-05T03:39:52.706768Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

38241efdbb36a896969294d7788296c3168b59d585c56264fcbf54eb8dbcda11

Aliases

arxiv: 1908.07854 · arxiv_version: 1908.07854v9 · doi: 10.48550/arxiv.1908.07854 · pith_short_12: HASB57N3G2UJ · pith_short_16: HASB57N3G2UJNFUS · pith_short_8: HASB57N3

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/HASB57N3G2UJNFUSSTLXRAUWYM \
  | 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: 38241efdbb36a896969294d7788296c3168b59d585c56264fcbf54eb8dbcda11

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1aa2888e7297af1fc0e9327450fd76c118028142b8e78ae1f9e5605e5b2b729b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-08-21T14:43:30Z",
    "title_canon_sha256": "7bf88a75acad1e8504f7dbf60c1a057d4244cca5f539ebe693077a0cd7a46040"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.07854",
    "kind": "arxiv",
    "version": 9
  }
}