Pith Number

pith:GOCCPBYQ

pith:2026:GOCCPBYQHQP3VTQHHOM7Q6NT5I

not attested not anchored not stored refs pending

A coarse block-cut tree theorem

Evangelos Protopapas, Jadwiga Czy\.zewska, J\'ulia Balig\'acs, Micha{\l} Pilipczuk, V\'aclav Bla\v{z}ej

arxiv:2607.07111 v1 · 2026-07-08 · math.CO · cs.DM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GOCCPBYQHQP3VTQHHOM7Q6NT5I}

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	2026-07-09T01:20:14.770634Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33842787103c1fbace073b99f879b3ea29fb84654c57ad277879a495c897c734

Aliases

arxiv: 2607.07111 · arxiv_version: 2607.07111v1 · doi: 10.48550/arxiv.2607.07111 · pith_short_12: GOCCPBYQHQP3 · pith_short_16: GOCCPBYQHQP3VTQH · pith_short_8: GOCCPBYQ

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/GOCCPBYQHQP3VTQHHOM7Q6NT5I \
  | 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: 33842787103c1fbace073b99f879b3ea29fb84654c57ad277879a495c897c734

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4efe262bd422882b6aa0e1f333548fc4f7798dc0432449d1977a019a099cf454",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-07-08T07:51:50Z",
    "title_canon_sha256": "a845f8923269a3d85fb7d7c7baccbb48cc0216a0744c1b384c7a31e6e3cdf9ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.07111",
    "kind": "arxiv",
    "version": 1
  }
}