Pith Number

pith:KFHWIJQG

pith:2018:KFHWIJQGEPVCGMHQUWPXTSVDM3

not attested not anchored not stored refs pending

Structural submodularity and tangles in abstract separation systems

Daniel Wei{\ss}auer, Joshua Erde, Reinhard Diestel

arxiv:1805.01439 v2 · 2018-05-03 · 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{KFHWIJQGEPVCGMHQUWPXTSVDM3}

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.

Cited by

1 paper in Pith

Optimal trees of tangles: refining the essential parts

Receipt and verification

First computed	2026-05-17T23:47:52.845163Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

514f64260623ea2330f0a59f79caa366fa9ac06b4a2cb1e40e72cc9884648834

Aliases

arxiv: 1805.01439 · arxiv_version: 1805.01439v2 · doi: 10.48550/arxiv.1805.01439 · pith_short_12: KFHWIJQGEPVC · pith_short_16: KFHWIJQGEPVCGMHQ · pith_short_8: KFHWIJQG

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/KFHWIJQGEPVCGMHQUWPXTSVDM3 \
  | 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: 514f64260623ea2330f0a59f79caa366fa9ac06b4a2cb1e40e72cc9884648834

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70561673da790df779efc400b8c6574f945cc1e31f9a5bff1b9076820425ab1a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-05-03T17:26:46Z",
    "title_canon_sha256": "b97b81e9befba9c16e5803ec3ed0ff2812ae3bee43d8ab3432e94dc017ea5ed4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.01439",
    "kind": "arxiv",
    "version": 2
  }
}