Pith Number

pith:PTMZIE4L

pith:2012:PTMZIE4LZNGRU4JHFCEL3FG4RD

not attested not anchored not stored refs pending

Strongly walk-regular graphs

Edwin R. van Dam, Gholamreza Omidi

arxiv:1208.3067 v2 · 2012-08-15 · 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{PTMZIE4LZNGRU4JHFCEL3FG4RD}

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	2026-05-18T03:35:01.904798Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7cd994138bcb4d1a71272888bd94dc88c6a8ac759420686d4094a86cc4c810f0

Aliases

arxiv: 1208.3067 · arxiv_version: 1208.3067v2 · doi: 10.48550/arxiv.1208.3067 · pith_short_12: PTMZIE4LZNGR · pith_short_16: PTMZIE4LZNGRU4JH · pith_short_8: PTMZIE4L

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/PTMZIE4LZNGRU4JHFCEL3FG4RD \
  | 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: 7cd994138bcb4d1a71272888bd94dc88c6a8ac759420686d4094a86cc4c810f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f30bc6d5c8c3a921b7785fbbc8b5b5e9930bb93ed99dcc3cea4d35071d5fae8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-08-15T09:22:43Z",
    "title_canon_sha256": "00b50857cd23a5586adb07ed99b548152400459360297da62e93627d5138d21a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.3067",
    "kind": "arxiv",
    "version": 2
  }
}