Pith Number

pith:R4MEPR3T

pith:2026:R4MEPR3TM5Z7C4ZOVCYFKYDNUN

not attested not anchored not stored refs pending

Prescribed leftover chords and one-extra-edge Berge pancyclicity

Henry Shin

arxiv:2606.12230 v1 · 2026-06-10 · 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{R4MEPR3TM5Z7C4ZOVCYFKYDNUN}

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	2026-06-11T01:10:55.637134Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f1847c7736773f1732ea8b055606da349651b54250bf507f04a291d02871efb

Aliases

arxiv: 2606.12230 · arxiv_version: 2606.12230v1 · doi: 10.48550/arxiv.2606.12230 · pith_short_12: R4MEPR3TM5Z7 · pith_short_16: R4MEPR3TM5Z7C4ZO · pith_short_8: R4MEPR3T

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/R4MEPR3TM5Z7C4ZOVCYFKYDNUN \
  | 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: 8f1847c7736773f1732ea8b055606da349651b54250bf507f04a291d02871efb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c1a2e500a7bd32854c6480841ef60b507059657018a2c4825a8eb91e7726d58",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-10T15:39:33Z",
    "title_canon_sha256": "af8fc9e160c61363c185fb7c5bc345d3d96ee1be2712fe5cd26a1c7e20911169"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.12230",
    "kind": "arxiv",
    "version": 1
  }
}