Pith Number

pith:PDQFIOC3

pith:2016:PDQFIOC3DEBUER4AQ3OY7QSE2W

not attested not anchored not stored refs pending

Duality theorems for blocks and tangles in graphs

Joshua Erde, Philipp Eberenz, Reinhard Diestel

arxiv:1605.09139 v3 · 2016-05-30 · 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{PDQFIOC3DEBUER4AQ3OY7QSE2W}

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	2026-05-18T00:40:51.703273Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78e054385b190342478086dd8fc244d5a3f426d512ac9f6886500116ea902f62

Aliases

arxiv: 1605.09139 · arxiv_version: 1605.09139v3 · doi: 10.48550/arxiv.1605.09139 · pith_short_12: PDQFIOC3DEBU · pith_short_16: PDQFIOC3DEBUER4A · pith_short_8: PDQFIOC3

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/PDQFIOC3DEBUER4AQ3OY7QSE2W \
  | 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: 78e054385b190342478086dd8fc244d5a3f426d512ac9f6886500116ea902f62

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2258d4c41dc032d9bdd11a6c73278cf77e8afc902eefb4834a0ebaa2e312fb26",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-05-30T08:48:34Z",
    "title_canon_sha256": "1b47508c4a3d42fd39c898bcd1913d429655a4393a4fc01f39aac42374b3faa2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.09139",
    "kind": "arxiv",
    "version": 3
  }
}