Pith Number

pith:NHZUQKA6

pith:2012:NHZUQKA6K2S6N52CQVL4RZJUEQ

not attested not anchored not stored refs pending

Distance magic labeling and two products of graphs

Aleksandra Tepeh, Iztok Peterin, Marcin Anholcer, Sylwia Cichacz

arxiv:1210.1836 v1 · 2012-10-05 · 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{NHZUQKA6K2S6N52CQVL4RZJUEQ}

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	2026-05-18T01:34:05.820490Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69f348281e56a5e6f7428557c8e5342434d85d418d37b53b14c597e46ebcfb2e

Aliases

arxiv: 1210.1836 · arxiv_version: 1210.1836v1 · doi: 10.48550/arxiv.1210.1836 · pith_short_12: NHZUQKA6K2S6 · pith_short_16: NHZUQKA6K2S6N52C · pith_short_8: NHZUQKA6

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/NHZUQKA6K2S6N52CQVL4RZJUEQ \
  | 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: 69f348281e56a5e6f7428557c8e5342434d85d418d37b53b14c597e46ebcfb2e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85f3a46cf60e0ed4453ac73917fd66aaa31d15604f865a673a6da7c07c16f26c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-10-05T19:00:37Z",
    "title_canon_sha256": "5eca0cc4a869edfc1a657ebed2d5aa68b2682571214ac0d76a1c9c8ef7c90e9b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.1836",
    "kind": "arxiv",
    "version": 1
  }
}