Pith Number

pith:UWMUXKDI

pith:2017:UWMUXKDIV7YONYIDLEYTSRFPR3

not attested not anchored not stored refs pending

Toughness and spanning trees in $K_4$-minor-free graphs

Dong Ye, M. N. Ellingham, Songling Shan, Xiaoya Zha

arxiv:1704.00246 v2 · 2017-04-02 · 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{UWMUXKDIV7YONYIDLEYTSRFPR3}

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	2026-05-17T23:41:56.740431Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a5994ba868aff0e6e10359313944af8ed7572571766ce73b60b315651f6de721

Aliases

arxiv: 1704.00246 · arxiv_version: 1704.00246v2 · doi: 10.48550/arxiv.1704.00246 · pith_short_12: UWMUXKDIV7YO · pith_short_16: UWMUXKDIV7YONYID · pith_short_8: UWMUXKDI

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/UWMUXKDIV7YONYIDLEYTSRFPR3 \
  | 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: a5994ba868aff0e6e10359313944af8ed7572571766ce73b60b315651f6de721

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8d453dc1ce5d5dbca4d3fc60e430f073ee7d7fb3949d8faf671b01219194c82",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-04-02T03:02:20Z",
    "title_canon_sha256": "992d43110a885fed78950f20a06aeae298b82ffe4c22d1749d8d2c3f62171f10"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.00246",
    "kind": "arxiv",
    "version": 2
  }
}