Pith Number

pith:OCKHFAF3

pith:2012:OCKHFAF34MMHUEILEV27JQ74PU

not attested not anchored not stored refs pending

Roughness in Cayley Graphs

B. Davvaz, M. H. Shahzamanian, M. Shirmohammadi

arxiv:1203.2432 v1 · 2012-03-12 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OCKHFAF34MMHUEILEV27JQ74PU}

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	2026-05-18T04:00:25.486883Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70947280bbe3187a110b2575f4c3fc7d174da46ad070dc0ff63c5e81c87b164f

Aliases

arxiv: 1203.2432 · arxiv_version: 1203.2432v1 · doi: 10.48550/arxiv.1203.2432 · pith_short_12: OCKHFAF34MMH · pith_short_16: OCKHFAF34MMHUEIL · pith_short_8: OCKHFAF3

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/OCKHFAF34MMHUEILEV27JQ74PU \
  | 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: 70947280bbe3187a110b2575f4c3fc7d174da46ad070dc0ff63c5e81c87b164f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d780555b20b542a80d06d01f5ef63f59e2ccfdf43d8149d63e503f1b3343532e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-03-12T09:25:11Z",
    "title_canon_sha256": "3b09fd17c2bdf5e75cd317334fd2aa0ca519e9ac27f48ec8c8900af318db13f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.2432",
    "kind": "arxiv",
    "version": 1
  }
}