Pith Number

pith:BW4PHQ2E

pith:2012:BW4PHQ2EAO6EWHXAXAMGOZTK3T

not attested not anchored not stored refs pending

Note on group distance magic graphs $G[C_4]$

Sylwia Cichacz

arxiv:1204.0705 v2 · 2012-04-03 · 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{BW4PHQ2EAO6EWHXAXAMGOZTK3T}

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	2026-05-18T03:32:45.364775Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0db8f3c34403bc4b1ee0b81867666adce3be8f38f539546c55ca6bcc7728716c

Aliases

arxiv: 1204.0705 · arxiv_version: 1204.0705v2 · doi: 10.48550/arxiv.1204.0705 · pith_short_12: BW4PHQ2EAO6E · pith_short_16: BW4PHQ2EAO6EWHXA · pith_short_8: BW4PHQ2E

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/BW4PHQ2EAO6EWHXAXAMGOZTK3T \
  | 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: 0db8f3c34403bc4b1ee0b81867666adce3be8f38f539546c55ca6bcc7728716c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0a025cf6bb0a4e40e7faa5841404acd476ef9ce4d4951b53e613b4f7016b119",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-04-03T15:05:05Z",
    "title_canon_sha256": "895dc6206f82f4cb299879e177c05d5b7003ff0a983472f5339382a708d7e182"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.0705",
    "kind": "arxiv",
    "version": 2
  }
}