Pith Number

pith:YZDNXQJL

pith:2015:YZDNXQJLQBRVXFHTCRJLX3YVDG

not attested not anchored not stored refs pending

Proper connection number and 2-proper connection number of a graph

Fei Huang, Shujing Wang, Xueliang Li

arxiv:1507.01426 v2 · 2015-07-06 · 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{YZDNXQJLQBRVXFHTCRJLX3YVDG}

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	2026-05-18T01:37:03.466167Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c646dbc12b80635b94f31452bbef1519ba71e886d61f4a88f1d5dbab099db856

Aliases

arxiv: 1507.01426 · arxiv_version: 1507.01426v2 · doi: 10.48550/arxiv.1507.01426 · pith_short_12: YZDNXQJLQBRV · pith_short_16: YZDNXQJLQBRVXFHT · pith_short_8: YZDNXQJL

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/YZDNXQJLQBRVXFHTCRJLX3YVDG \
  | 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: c646dbc12b80635b94f31452bbef1519ba71e886d61f4a88f1d5dbab099db856

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca72f8dde945065d9310c184a4a8f48f5ceeae266e0e5a25f1fc62ed34f8fe74",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-07-06T12:51:51Z",
    "title_canon_sha256": "88124cd85245bfb6a7fda4ce97f48a637eb8e835baa2e1344431a574396c8af8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.01426",
    "kind": "arxiv",
    "version": 2
  }
}