Pith Number

pith:R5EEQ25E

pith:2015:R5EEQ25EXN6WBZR6MVQV4VCNWW

not attested not anchored not stored refs pending

Card-Shuffling via Convolutions of Projections on Combinatorial Hopf Algebras

C. Y. Amy Pang

arxiv:1503.08368 v1 · 2015-03-28 · math.CO · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R5EEQ25EXN6WBZR6MVQV4VCNWW}

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	2026-05-18T02:20:02.018901Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f48486ba4bb7d60e63e65615e544db59bcdb02071f198afbe6471c0216c8520

Aliases

arxiv: 1503.08368 · arxiv_version: 1503.08368v1 · doi: 10.48550/arxiv.1503.08368 · pith_short_12: R5EEQ25EXN6W · pith_short_16: R5EEQ25EXN6WBZR6 · pith_short_8: R5EEQ25E

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/R5EEQ25EXN6WBZR6MVQV4VCNWW \
  | 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: 8f48486ba4bb7d60e63e65615e544db59bcdb02071f198afbe6471c0216c8520

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb4caea61d27c8b3721f7ed63379bbe78b30257eff358521026fabc6f62d0022",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-03-28T23:45:37Z",
    "title_canon_sha256": "c8da2acdcb31f971be03d04a7cc196739f9f0a4dabed1e2fbf1ccd92123e8b3f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.08368",
    "kind": "arxiv",
    "version": 1
  }
}