Pith Number

pith:VSCC5SHH

pith:2005:VSCC5SHHY4BFMEAOYPSNRWY64D

not attested not anchored not stored refs pending

The chromatic numbers of double coverings of a graph

Dongseok Kim, Jaeun Lee

arxiv:math/0507110 v2 · 2005-07-06 · 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{VSCC5SHHY4BFMEAOYPSNRWY64D}

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	2026-07-04T15:14:04.092460Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac842ec8e7c70256100ec3e4d8db1ee0fda9ed030de3eebb41d7c1d797939139

Aliases

arxiv: math/0507110 · arxiv_version: math/0507110v2 · doi: 10.48550/arxiv.math/0507110 · pith_short_12: VSCC5SHHY4BF · pith_short_16: VSCC5SHHY4BFMEAO · pith_short_8: VSCC5SHH

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/VSCC5SHHY4BFMEAOYPSNRWY64D \
  | 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: ac842ec8e7c70256100ec3e4d8db1ee0fda9ed030de3eebb41d7c1d797939139

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "891de3a44d1d008e5a67c29ecfb9c9a3ce0003c85c509cfe37f41a389927de1b",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2005-07-06T05:52:21Z",
    "title_canon_sha256": "a2ac931bcf84189894799235c1bf79a9c8526f5d830233b7eea22ccf666b8d9c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0507110",
    "kind": "arxiv",
    "version": 2
  }
}