Pith Number

pith:3K7DS6JG

pith:2011:3K7DS6JGQVD4U6NUG76MDQ47VZ

not attested not anchored not stored refs pending

Profiles of separations: in graphs, matroids and beyond

Fabian Hundertmark, Reinhard Diestel, Sahar Lemanczyk

arxiv:1110.6207 v5 · 2011-10-27 · 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{3K7DS6JGQVD4U6NUG76MDQ47VZ}

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	2026-05-18T00:46:17.103710Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dabe3979268547ca79b437fcc1c39fae595a7292dad769fbb08e1f800a4f0a09

Aliases

arxiv: 1110.6207 · arxiv_version: 1110.6207v5 · doi: 10.48550/arxiv.1110.6207 · pith_short_12: 3K7DS6JGQVD4 · pith_short_16: 3K7DS6JGQVD4U6NU · pith_short_8: 3K7DS6JG

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/3K7DS6JGQVD4U6NUG76MDQ47VZ \
  | 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: dabe3979268547ca79b437fcc1c39fae595a7292dad769fbb08e1f800a4f0a09

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1946714f9d668dbcc5c96a520abd7ea4fd389e4a2ea457ad43590191bb481731",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-10-27T22:24:16Z",
    "title_canon_sha256": "f3c9a22dfb8fbe3da760c13270c52f7c44df6d247efbaface0473a93eb7aa308"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.6207",
    "kind": "arxiv",
    "version": 5
  }
}