Pith Number

pith:BG7HTMTQ

pith:2023:BG7HTMTQ2XC2KRWHPWO5Q5KIIW

not attested not anchored not stored refs pending

Linear $\chi$-binding functions for $\{P_3\cup P_2, gem\}$-free graphs

Athmakoori Prashant, M. Gokulnath, S. Francis Raj

arxiv:2305.11757 v1 · 2023-05-19 · 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{BG7HTMTQ2XC2KRWHPWO5Q5KIIW}

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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.

Cited by

1 paper in Pith

Coloring of some $(P_2\cup P_4)$-free graphs

Receipt and verification

First computed	2026-07-05T06:11:50.813912Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09be79b270d5c5a546c77d9dd87548459dc947b225f011f96e42150b289b14fe

Aliases

arxiv: 2305.11757 · arxiv_version: 2305.11757v1 · doi: 10.48550/arxiv.2305.11757 · pith_short_12: BG7HTMTQ2XC2 · pith_short_16: BG7HTMTQ2XC2KRWH · pith_short_8: BG7HTMTQ

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/BG7HTMTQ2XC2KRWHPWO5Q5KIIW \
  | 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: 09be79b270d5c5a546c77d9dd87548459dc947b225f011f96e42150b289b14fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d0668294e29081398027cf8e9ed1669bd4f5f206c460552ebafe6788da9918c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-05-19T15:44:14Z",
    "title_canon_sha256": "10d15d77cf306bd86ff08e0e6fe4f2b785149a617392daca4bf7985e64c198c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2305.11757",
    "kind": "arxiv",
    "version": 1
  }
}