Pith Number

pith:J6PBBJNN

pith:2015:J6PBBJNN64UZSIYV6UKVDMAVQX

not attested not anchored not stored refs pending

On the existence of vertex-disjoint subgraphs with high degree sum

Nicolas Lichiardopol, Shuya Chiba

arxiv:1503.03272 v5 · 2015-03-11 · 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{J6PBBJNN64UZSIYV6UKVDMAVQX}

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	2026-05-18T00:45:54.612518Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f9e10a5adf729992315f51551b01585ecaa1ff4d044dd4e304242a9910263d6

Aliases

arxiv: 1503.03272 · arxiv_version: 1503.03272v5 · doi: 10.48550/arxiv.1503.03272 · pith_short_12: J6PBBJNN64UZ · pith_short_16: J6PBBJNN64UZSIYV · pith_short_8: J6PBBJNN

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/J6PBBJNN64UZSIYV6UKVDMAVQX \
  | 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: 4f9e10a5adf729992315f51551b01585ecaa1ff4d044dd4e304242a9910263d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea1e76472c1bc6ede72b2ff011cdfaeca77b08890844dde8b00391363e76ff65",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-03-11T11:10:24Z",
    "title_canon_sha256": "4b0b9daa5d1bc1256b8f79cacd357459c4215ba62f467d3ce36b26d9ea29a4f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.03272",
    "kind": "arxiv",
    "version": 5
  }
}