Pith Number

pith:2PKEGTZD

pith:2021:2PKEGTZDFIRIRW5ZCEXE7NQIGX

not attested not anchored not stored refs pending

On the chromatic number of a family of odd hole free graphs

Baogang Xu, Jialei Song

arxiv:2110.12710 v1 · 2021-10-25 · cs.DM · 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{2PKEGTZDFIRIRW5ZCEXE7NQIGX}

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	2026-07-05T03:25:23.280385Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3d4434f232a2288dbb9112e4fb60835f38448da8dc0e68815f7511ed988def0

Aliases

arxiv: 2110.12710 · arxiv_version: 2110.12710v1 · doi: 10.48550/arxiv.2110.12710 · pith_short_12: 2PKEGTZDFIRI · pith_short_16: 2PKEGTZDFIRIRW5Z · pith_short_8: 2PKEGTZD

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/2PKEGTZDFIRIRW5ZCEXE7NQIGX \
  | 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: d3d4434f232a2288dbb9112e4fb60835f38448da8dc0e68815f7511ed988def0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8bc19ee901b446d286b86f64f9dc5af8fc2013c674a3506183215ab16c5b5c28",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2021-10-25T07:43:06Z",
    "title_canon_sha256": "9f8c826a9307a0101951b4a064a44b3157bf52350c80a719a6eba2958099c214"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2110.12710",
    "kind": "arxiv",
    "version": 1
  }
}