Pith Number

pith:62BPOP22

pith:2021:62BPOP22D5RQ36AYHE6S77VF4R

not attested not anchored not stored refs pending

Polynomial $\chi$-binding functions for $t$-broom-free graphs

Joshua Schroeder, Xiaonan Liu, Xingxing Yu, Zhiyu Wang

arxiv:2106.08871 v2 · 2021-06-16 · 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{62BPOP22D5RQ36AYHE6S77VF4R}

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	2026-07-05T05:20:07.927325Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f682f73f5a1f630df818393d2ffea5e47448c4293eebab75aff1c024ba9dd7f4

Aliases

arxiv: 2106.08871 · arxiv_version: 2106.08871v2 · doi: 10.48550/arxiv.2106.08871 · pith_short_12: 62BPOP22D5RQ · pith_short_16: 62BPOP22D5RQ36AY · pith_short_8: 62BPOP22

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/62BPOP22D5RQ36AYHE6S77VF4R \
  | 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: f682f73f5a1f630df818393d2ffea5e47448c4293eebab75aff1c024ba9dd7f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50adbbf3b18c12c31480cca7aefa366863cc3492ca91a9cb742abdf53b94e7dc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2021-06-16T15:45:01Z",
    "title_canon_sha256": "f135ca3e22129b0c0382b8518ac66ced11ccc51d371fba02d610d3f4f267b65c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.08871",
    "kind": "arxiv",
    "version": 2
  }
}