Pith Number

pith:LJ6I34XV

pith:2018:LJ6I34XVIXH7TZS2HZUWSLSQM3

not attested not anchored not stored refs pending

When Do Gomory-Hu Subtrees Exist?

F. Bruce Shepherd, Guyslain Naves

arxiv:1807.07331 v1 · 2018-07-19 · cs.DM · 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{LJ6I34XVIXH7TZS2HZUWSLSQM3}

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	2026-05-18T00:10:20.490143Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a7c8df2f545cff9e65a3e69692e5066d10bb415de38f7a9718e4ae9d37f2137

Aliases

arxiv: 1807.07331 · arxiv_version: 1807.07331v1 · doi: 10.48550/arxiv.1807.07331 · pith_short_12: LJ6I34XVIXH7 · pith_short_16: LJ6I34XVIXH7TZS2 · pith_short_8: LJ6I34XV

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/LJ6I34XVIXH7TZS2HZUWSLSQM3 \
  | 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: 5a7c8df2f545cff9e65a3e69692e5066d10bb415de38f7a9718e4ae9d37f2137

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79954026b69b284a2edf780e514d887e7b981f61eb2a116bfb8eb4545285e603",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2018-07-19T10:28:04Z",
    "title_canon_sha256": "0aa7da5ec8e0a69303724055b888ec71a5c398c05cf7dea86954f3681e78f7e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.07331",
    "kind": "arxiv",
    "version": 1
  }
}