Pith Number

pith:RGLJIHTC

pith:2022:RGLJIHTCCMGADANC5LNBCXXM5N

not attested not anchored not stored refs pending

Partition universality for graphs of bounded degeneracy and degree

Julia B\"ottcher, Peter Allen

arxiv:2211.15819 v1 · 2022-11-28 · 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{RGLJIHTCCMGADANC5LNBCXXM5N}

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

Combinatorial theorems relative to sparse sets

Receipt and verification

First computed	2026-07-05T05:20:18.588673Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8996941e62130c0181a2eada115eeceb6ca88b30a9e032d4f6d2ad5927bb9933

Aliases

arxiv: 2211.15819 · arxiv_version: 2211.15819v1 · doi: 10.48550/arxiv.2211.15819 · pith_short_12: RGLJIHTCCMGA · pith_short_16: RGLJIHTCCMGADANC · pith_short_8: RGLJIHTC

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/RGLJIHTCCMGADANC5LNBCXXM5N \
  | 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: 8996941e62130c0181a2eada115eeceb6ca88b30a9e032d4f6d2ad5927bb9933

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d46d1eb2b075a05e7acbc8ecb31125b78662423a8e084b1e196b8d8098eed79",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-11-28T23:07:10Z",
    "title_canon_sha256": "f1f948c4519a060daff643050007104950599cad3bc17bb9eaeebb2846e3c67c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2211.15819",
    "kind": "arxiv",
    "version": 1
  }
}