Pith Number

pith:5IVN4DGZ

pith:2016:5IVN4DGZSMEJAQ6TVAE4GILRJ5

not attested not anchored not stored refs pending

Tangles and Connectivity in Graphs

Martin Grohe

arxiv:1602.04727 v1 · 2016-02-15 · 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{5IVN4DGZSMEJAQ6TVAE4GILRJ5}

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	2026-05-18T01:20:49.314569Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea2ade0cd993089043d3a809c321714f40fe7651842738d08f55de3d962c0676

Aliases

arxiv: 1602.04727 · arxiv_version: 1602.04727v1 · doi: 10.48550/arxiv.1602.04727 · pith_short_12: 5IVN4DGZSMEJ · pith_short_16: 5IVN4DGZSMEJAQ6T · pith_short_8: 5IVN4DGZ

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/5IVN4DGZSMEJAQ6TVAE4GILRJ5 \
  | 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: ea2ade0cd993089043d3a809c321714f40fe7651842738d08f55de3d962c0676

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0064b2e2b6681cee5f62df3eef28474932640e85686560096db46b8a4f8ecc3",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2016-02-15T16:25:27Z",
    "title_canon_sha256": "7a2a7a43075455821cf4f13ed36eb5ee2e9c7a0e18f722b641f7364725676996"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.04727",
    "kind": "arxiv",
    "version": 1
  }
}