Pith Number

pith:SIEMN4OI

pith:2018:SIEMN4OIBJNWBM27PGEE6AQVCG

not attested not anchored not stored refs pending

Independence number of edge-chromatic critical graphs

Guangming Jing, Guantao Chen, Songling Shan, Yan Cao

arxiv:1805.05996 v1 · 2018-05-15 · 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{SIEMN4OIBJNWBM27PGEE6AQVCG}

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	2026-05-18T00:15:49.205384Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9208c6f1c80a5b60b35f79884f0215118395d49e0b04577de2e1ab4fe84a5e05

Aliases

arxiv: 1805.05996 · arxiv_version: 1805.05996v1 · doi: 10.48550/arxiv.1805.05996 · pith_short_12: SIEMN4OIBJNW · pith_short_16: SIEMN4OIBJNWBM27 · pith_short_8: SIEMN4OI

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/SIEMN4OIBJNWBM27PGEE6AQVCG \
  | 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: 9208c6f1c80a5b60b35f79884f0215118395d49e0b04577de2e1ab4fe84a5e05

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25d54b90d04e40ed7f79490217a3d56f79b7833b838526b527a124998b59fc00",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-05-15T19:00:27Z",
    "title_canon_sha256": "efcb72b85c70b4cc3b96bd5548a58ee564b10976d31f9104c4015bbd6c7418db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.05996",
    "kind": "arxiv",
    "version": 1
  }
}