Pith Number

pith:WHIGMHRL

pith:2021:WHIGMHRLGRYLP76LGDZM3RF3MV

not attested not anchored not stored refs pending

On Vizing's edge colouring question

Aur\'elie Lagoutte, Jonathan Narboni, Marthe Bonamy, Oscar Defrain, Tereza Klimo\v{s}ov\'a

arxiv:2107.07900 v1 · 2021-07-16 · math.CO · cs.DM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WHIGMHRLGRYLP76LGDZM3RF3MV}

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	2026-07-05T02:58:30.305669Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1d0661e2b3470b7ffcb30f2cdc4bb6561b1b18d48e07ed0c46464905d7373f0

Aliases

arxiv: 2107.07900 · arxiv_version: 2107.07900v1 · doi: 10.48550/arxiv.2107.07900 · pith_short_12: WHIGMHRLGRYL · pith_short_16: WHIGMHRLGRYLP76L · pith_short_8: WHIGMHRL

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/WHIGMHRLGRYLP76LGDZM3RF3MV \
  | 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: b1d0661e2b3470b7ffcb30f2cdc4bb6561b1b18d48e07ed0c46464905d7373f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3ebed101ab25e21b42cd33d52e4abc2aab64c5ef0fc24c06354b2c6f2a5dce6",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2021-07-16T13:45:19Z",
    "title_canon_sha256": "08a725efc05b805587d3f12e854ebad9ff9d4aba94ceb35e31e2dc51c3bd5e56"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.07900",
    "kind": "arxiv",
    "version": 1
  }
}