Pith Number

pith:U56XNGLT

pith:2015:U56XNGLTSLIDWOHB5O634A56DX

not attested not anchored not stored refs pending

The CLLC conjecture holds for cyclic outer permutations

David G.L. Wang, Jonathan L. Gross, Thomas W. Tucker, Toufik Mansour

arxiv:1511.03139 v1 · 2015-11-10 · 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{U56XNGLTSLIDWOHB5O634A56DX}

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	2026-05-18T01:27:16.905092Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a77d76997392d03b38e1ebbdbe03be1dfb20fac198f9c8786885ed4e3fedc6c0

Aliases

arxiv: 1511.03139 · arxiv_version: 1511.03139v1 · doi: 10.48550/arxiv.1511.03139 · pith_short_12: U56XNGLTSLID · pith_short_16: U56XNGLTSLIDWOHB · pith_short_8: U56XNGLT

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/U56XNGLTSLIDWOHB5O634A56DX \
  | 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: a77d76997392d03b38e1ebbdbe03be1dfb20fac198f9c8786885ed4e3fedc6c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a5d7569328df4ed8a8b6098cab67f810937a97b814f4373fca9dd1b3fefbbd78",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-11-10T15:29:40Z",
    "title_canon_sha256": "665a1d27a8e3d05a0fc492a6e8e4c07fdaad24446346e4aaeebe9b8bdfd2bd7e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.03139",
    "kind": "arxiv",
    "version": 1
  }
}