Pith Number

pith:UMRERREP

pith:2019:UMRERREPJCSEGIWDUFXOLCRVZ2

not attested not anchored not stored refs pending

Graphs that are critical for the packing chromatic number

Bo\v{s}tjan Bre\v{s}ar, Jasmina Ferme

arxiv:1904.10212 v1 · 2019-04-23 · 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{UMRERREPJCSEGIWDUFXOLCRVZ2}

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	2026-05-17T23:47:54.808505Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a32248c48f48a44322c3a16ee58a35ce97b5cd1f12023f4988343f35f156136d

Aliases

arxiv: 1904.10212 · arxiv_version: 1904.10212v1 · doi: 10.48550/arxiv.1904.10212 · pith_short_12: UMRERREPJCSE · pith_short_16: UMRERREPJCSEGIWD · pith_short_8: UMRERREP

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/UMRERREPJCSEGIWDUFXOLCRVZ2 \
  | 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: a32248c48f48a44322c3a16ee58a35ce97b5cd1f12023f4988343f35f156136d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0128a9a2b6152ecbe64e76f029e877ba5977397909fb3f68cc5f472f07c07d75",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-04-23T09:07:54Z",
    "title_canon_sha256": "e63d742bdadaf0b28d0fd4764e67d6ed53b7f528ffb122eefe40064bce1ed4ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.10212",
    "kind": "arxiv",
    "version": 1
  }
}