Pith Number

pith:OPTZHDSS

pith:2017:OPTZHDSSC6GNNVZANEJYDJXGCT

not attested not anchored not stored refs pending

Tangle-tree duality: in graphs, matroids and beyond

Reinhard Diestel, Sang-il Oum

arxiv:1701.02651 v3 · 2017-01-10 · 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{OPTZHDSSC6GNNVZANEJYDJXGCT}

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

2 papers in Pith

Tangles in the social sciences

Optimal trees of tangles: refining the essential parts

Receipt and verification

First computed	2026-07-05T00:35:08.857673Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73e7938e52178cd6d720691381a6e614ff1c3df92843d84212b08bdd7173ddbd

Aliases

arxiv: 1701.02651 · arxiv_version: 1701.02651v3 · doi: 10.48550/arxiv.1701.02651 · pith_short_12: OPTZHDSSC6GN · pith_short_16: OPTZHDSSC6GNNVZA · pith_short_8: OPTZHDSS

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/OPTZHDSSC6GNNVZANEJYDJXGCT \
  | 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: 73e7938e52178cd6d720691381a6e614ff1c3df92843d84212b08bdd7173ddbd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c7e80e3572aa28bead54bbaa9bd98774c438a1ba60b14c8f76eb37938ff1819",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-01-10T15:54:40Z",
    "title_canon_sha256": "0f73e20965eae550bfce6f5bd11852467e137d21f400beb10df40e035967543d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.02651",
    "kind": "arxiv",
    "version": 3
  }
}