Pith Number

pith:75TTPAPN

pith:2012:75TTPAPNEVX4WLEJ7G7NOSW72J

not attested not anchored not stored refs pending

Group Sum Chromatic Number of Graphs

Marcin Anholcer, Sylwia Cichacz

arxiv:1205.2572 v4 · 2012-05-11 · 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{75TTPAPNEVX4WLEJ7G7NOSW72J}

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	2026-05-18T01:19:42.760776Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff673781ed256fcb2c89f9bed74adfd24fb9406c276a2d7c3d039e27f5787f7c

Aliases

arxiv: 1205.2572 · arxiv_version: 1205.2572v4 · doi: 10.48550/arxiv.1205.2572 · pith_short_12: 75TTPAPNEVX4 · pith_short_16: 75TTPAPNEVX4WLEJ · pith_short_8: 75TTPAPN

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/75TTPAPNEVX4WLEJ7G7NOSW72J \
  | 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: ff673781ed256fcb2c89f9bed74adfd24fb9406c276a2d7c3d039e27f5787f7c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d104bacfc1ec9c447776eb9e6b2192d59d66a34d8c2aefa416d5a3079b039acc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-05-11T16:48:13Z",
    "title_canon_sha256": "edf4e78ad9d37fd29783c06b7ca0d86bedfd73d5992f770f337c45b2a9091c4c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.2572",
    "kind": "arxiv",
    "version": 4
  }
}