Pith Number

pith:LJVZS3LX

pith:2026:LJVZS3LXB4L7ZH7FDY6MFK4FJU

not attested not anchored not stored refs pending

Vertex cuts and median decompositions

Bobby Miraftab, Joseph P. MacManus

arxiv:2606.19473 v1 · 2026-06-17 · 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{LJVZS3LXB4L7ZH7FDY6MFK4FJU}

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	2026-06-19T16:12:26.688385Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a6b996d770f17fc9fe51e3cc2ab854d1318aecf55f9cfb215324bb280f4468c

Aliases

arxiv: 2606.19473 · arxiv_version: 2606.19473v1 · doi: 10.48550/arxiv.2606.19473 · pith_short_12: LJVZS3LXB4L7 · pith_short_16: LJVZS3LXB4L7ZH7F · pith_short_8: LJVZS3LX

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/LJVZS3LXB4L7ZH7FDY6MFK4FJU \
  | 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: 5a6b996d770f17fc9fe51e3cc2ab854d1318aecf55f9cfb215324bb280f4468c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "429ebcfc7234b900aac3c2a38861b32321193d8d39237c4e6de4b44896b449ce",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-17T18:05:33Z",
    "title_canon_sha256": "d847133e2029e4215a901748089a913455c8cde8967e0e1fcddd6aef0acb3612"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.19473",
    "kind": "arxiv",
    "version": 1
  }
}