Pith Number

pith:ROC25TF6

pith:2026:ROC25TF6HCTHBANVAWQ7Q7UNXB

not attested not anchored not stored refs pending

Tree-cut decompositions for displaying undominated edge-ends

Lucas Real, Max Pitz

arxiv:2606.20452 v1 · 2026-06-18 · 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{ROC25TF6HCTHBANVAWQ7Q7UNXB}

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	2026-06-19T16:13:12.763145Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b85aeccbe38a67081b505a1f87e8db85ec0e04e94a9d41572d9cb1635a524d5

Aliases

arxiv: 2606.20452 · arxiv_version: 2606.20452v1 · doi: 10.48550/arxiv.2606.20452 · pith_short_12: ROC25TF6HCTH · pith_short_16: ROC25TF6HCTHBANV · pith_short_8: ROC25TF6

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/ROC25TF6HCTHBANVAWQ7Q7UNXB \
  | 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: 8b85aeccbe38a67081b505a1f87e8db85ec0e04e94a9d41572d9cb1635a524d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0daf759e61a9c4a433d8598a705e80e9359702242d903372eda09eab5cdff6a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-18T16:30:09Z",
    "title_canon_sha256": "93d4c391c267469b8ea31fc59cc8331486c733d67ca33d7af0e067fab6b43c02"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.20452",
    "kind": "arxiv",
    "version": 1
  }
}