Pith Number

pith:7WQI77IK

pith:2013:7WQI77IKSKSGKB3EICVYUZODH2

not attested not anchored not stored refs pending

Improved bound on facial parity edge coloring

Borut Lu\v{z}ar, Riste \v{S}krekovski

arxiv:1303.4593 v1 · 2013-03-19 · 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{7WQI77IKSKSGKB3EICVYUZODH2}

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	2026-05-18T03:19:22.160041Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fda08ffd0a92a465076440ab8a65c33ebb3ab88f924c96cd990ba78527b9674f

Aliases

arxiv: 1303.4593 · arxiv_version: 1303.4593v1 · doi: 10.48550/arxiv.1303.4593 · pith_short_12: 7WQI77IKSKSG · pith_short_16: 7WQI77IKSKSGKB3E · pith_short_8: 7WQI77IK

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/7WQI77IKSKSGKB3EICVYUZODH2 \
  | 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: fda08ffd0a92a465076440ab8a65c33ebb3ab88f924c96cd990ba78527b9674f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ecc8dbde1fc5492487fa2f4cfeac38534100079e50e5859774ba74f9e6106335",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-03-19T13:39:40Z",
    "title_canon_sha256": "8b8bae190af43d053bf8f5b187b9a0220eeb2215bfa6e0ba78537fbeb496c178"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.4593",
    "kind": "arxiv",
    "version": 1
  }
}