Pith Number

pith:53UOY3A4

pith:2010:53UOY3A4JCQE6ESPHWUXVJY3IL

not attested not anchored not stored refs pending

On Packing Colorings of Distance Graphs

Olivier Togni (Le2i)

arxiv:1011.0971 v2 · 2010-11-03 · 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{53UOY3A4JCQE6ESPHWUXVJY3IL}

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	2026-05-18T02:58:33.025223Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eee8ec6c1c48a04f124f3da97aa71b42f66a1e6632ae62e8a5d798b2d8da79cd

Aliases

arxiv: 1011.0971 · arxiv_version: 1011.0971v2 · doi: 10.48550/arxiv.1011.0971 · pith_short_12: 53UOY3A4JCQE · pith_short_16: 53UOY3A4JCQE6ESP · pith_short_8: 53UOY3A4

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/53UOY3A4JCQE6ESPHWUXVJY3IL \
  | 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: eee8ec6c1c48a04f124f3da97aa71b42f66a1e6632ae62e8a5d798b2d8da79cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1043b308df26b5fd4d2e97029764743ab4e07f21cb10ca0bbca12432f0b2086a",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2010-11-03T19:01:11Z",
    "title_canon_sha256": "eba2b592f8367ca320df989cb3939029ae756390dc5e1daad9606ee4d99bec58"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.0971",
    "kind": "arxiv",
    "version": 2
  }
}