Pith Number

pith:FVHCSCZF

pith:2017:FVHCSCZF3GWEJWNXMUHY7HLCFS

not attested not anchored not stored refs pending

Packing chromatic number of subcubic graphs

Alexandr Kostochka, J\'ozsef Balogh, Xujun Liu

arxiv:1703.09873 v2 · 2017-03-29 · 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{FVHCSCZF3GWEJWNXMUHY7HLCFS}

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	2026-05-18T00:47:37.728355Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d4e290b25d9ac44d9b7650f8f9d622c883a203c187fd18af6916c70cccafaed

Aliases

arxiv: 1703.09873 · arxiv_version: 1703.09873v2 · doi: 10.48550/arxiv.1703.09873 · pith_short_12: FVHCSCZF3GWE · pith_short_16: FVHCSCZF3GWEJWNX · pith_short_8: FVHCSCZF

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/FVHCSCZF3GWEJWNXMUHY7HLCFS \
  | 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: 2d4e290b25d9ac44d9b7650f8f9d622c883a203c187fd18af6916c70cccafaed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3aa66ebb7131875a8a38e53b32788a21f4b9fde815f0c28efcdf0acbda528ac2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-03-29T03:29:07Z",
    "title_canon_sha256": "e54ad3677856bae49b06a6aee874f9d18902c91e7875884494e7a25baf7dae2d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.09873",
    "kind": "arxiv",
    "version": 2
  }
}