Pith Number

pith:XR7B5HM4

pith:2016:XR7B5HM4AVYKZQUSXXI55SHELH

not attested not anchored not stored refs pending

The Kelmans-Seymour conjecture IV: a proof

Dawei He, Xingxing Yu, Yan Wang

arxiv:1612.07189 v1 · 2016-12-21 · 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{XR7B5HM4AVYKZQUSXXI55SHELH}

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	2026-05-18T00:54:14.473570Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc7e1e9d9c0570acc292bdd1dec8e459fb48e718bd26493732eb76736e8f2c39

Aliases

arxiv: 1612.07189 · arxiv_version: 1612.07189v1 · doi: 10.48550/arxiv.1612.07189 · pith_short_12: XR7B5HM4AVYK · pith_short_16: XR7B5HM4AVYKZQUS · pith_short_8: XR7B5HM4

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/XR7B5HM4AVYKZQUSXXI55SHELH \
  | 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: bc7e1e9d9c0570acc292bdd1dec8e459fb48e718bd26493732eb76736e8f2c39

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad3623e39f37b38e28d0e56dec4e7dd5bae691908e0ae1f32844b4c8f6c3ff4f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-12-21T15:36:01Z",
    "title_canon_sha256": "e71649605b57a9ed8e5e83402f9bce01ebd853ce4198cf8455827b3bb44c9a47"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.07189",
    "kind": "arxiv",
    "version": 1
  }
}