Pith Number

pith:DUCDAM55

pith:2013:DUCDAM55GPNRDRKB662EIXGYKL

not attested not anchored not stored refs pending

The Packing Coloring of Distance Graphs $D(k,t)$

Jan Ekstein, Olivier Togni, P\v{r}emysl Holub

arxiv:1302.0721 v1 · 2013-02-04 · 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{DUCDAM55GPNRDRKB662EIXGYKL}

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	2026-05-18T03:34:36.505526Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d043033bd33db11c541f7b4445cd852db4cb92b539110a6bcab4b5af1400c89

Aliases

arxiv: 1302.0721 · arxiv_version: 1302.0721v1 · doi: 10.48550/arxiv.1302.0721 · pith_short_12: DUCDAM55GPNR · pith_short_16: DUCDAM55GPNRDRKB · pith_short_8: DUCDAM55

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/DUCDAM55GPNRDRKB662EIXGYKL \
  | 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: 1d043033bd33db11c541f7b4445cd852db4cb92b539110a6bcab4b5af1400c89

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1e3e494c5c2b6016f30137f7d294bd421c705b8380a9f2c24ed6cd250b62147",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-02-04T15:29:43Z",
    "title_canon_sha256": "2ea40917add271354eba113c4b46843a4a9436468e380a51d23f8eec614ce1de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.0721",
    "kind": "arxiv",
    "version": 1
  }
}