Pith Number

pith:IZQJGRXD

pith:2024:IZQJGRXDBY3BMWX4SL7W6MKOSL

not attested not anchored not stored refs pending

Bounds for the independence and chromatic numbers of locally sparse graphs

Abhishek Dhawan

arxiv:2403.03054 v3 · 2024-03-05 · 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{IZQJGRXDBY3BMWX4SL7W6MKOSL}

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.

Cited by

1 paper in Pith

Local Shearer bound

Receipt and verification

First computed	2026-07-05T11:40:29.891650Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46609346e30e36165afc92ff6f314e92dab42aa09e609b7ff703cf4dcfcac071

Aliases

arxiv: 2403.03054 · arxiv_version: 2403.03054v3 · doi: 10.48550/arxiv.2403.03054 · pith_short_12: IZQJGRXDBY3B · pith_short_16: IZQJGRXDBY3BMWX4 · pith_short_8: IZQJGRXD

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/IZQJGRXDBY3BMWX4SL7W6MKOSL \
  | 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: 46609346e30e36165afc92ff6f314e92dab42aa09e609b7ff703cf4dcfcac071

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f18a70bf61551e7e9ff7338916ab1ef3d4b0276f57f1c4155ad32b4675c96821",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-03-05T15:37:34Z",
    "title_canon_sha256": "904a0cbfe9729978d6e7b6bed52fa8b7e97df48f36b7691bdaba08da58fdc705"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2403.03054",
    "kind": "arxiv",
    "version": 3
  }
}