Pith Number

pith:P6F73SPY

pith:2017:P6F73SPYD4BWARWJSMYF37M5RT

not attested not anchored not stored refs pending

Minimal Sum Labeling of Graphs

Jakub Pek\'arek, Jana Novotn\'a, Martin T\"opfer, Mat\v{e}j Kone\v{c}n\'y, Stanislav Ku\v{c}era, \v{S}t\v{e}p\'an \v{S}imsa

arxiv:1708.00552 v1 · 2017-08-01 · cs.DM · 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{P6F73SPYD4BWARWJSMYF37M5RT}

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	2026-05-18T00:38:45.439791Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f8bfdc9f81f036046c993305dfd9d8cda6cb5d3e839c14d0f7d2cefb804ff42

Aliases

arxiv: 1708.00552 · arxiv_version: 1708.00552v1 · doi: 10.48550/arxiv.1708.00552 · pith_short_12: P6F73SPYD4BW · pith_short_16: P6F73SPYD4BWARWJ · pith_short_8: P6F73SPY

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/P6F73SPYD4BWARWJSMYF37M5RT \
  | 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: 7f8bfdc9f81f036046c993305dfd9d8cda6cb5d3e839c14d0f7d2cefb804ff42

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8bf394d458f67a9a896eb25ca76bac5a7089eda25e98ad35aeafc9535760bd81",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2017-08-01T23:52:46Z",
    "title_canon_sha256": "a840b246f54cc6400598ac4812c14864b2e8518cc24ba8f56a6589d02d364399"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.00552",
    "kind": "arxiv",
    "version": 1
  }
}