Pith Number

pith:LHW2IB6G

pith:2013:LHW2IB6GC55IQISZQSUEPTDXIJ

not attested not anchored not stored refs pending

Carries, group theory, and additive combinatorics

Kannan Soundararajan, Persi Diaconis, Xuancheng Shao

arxiv:1309.0434 v1 · 2013-09-02 · math.CO · math.GR · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LHW2IB6GC55IQISZQSUEPTDXIJ}

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	2026-05-18T03:14:27.315476Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59eda407c6177a88225984a847cc774276c9bafa5ff1bbb6c770ff55984dd29a

Aliases

arxiv: 1309.0434 · arxiv_version: 1309.0434v1 · doi: 10.48550/arxiv.1309.0434 · pith_short_12: LHW2IB6GC55I · pith_short_16: LHW2IB6GC55IQISZ · pith_short_8: LHW2IB6G

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/LHW2IB6GC55IQISZQSUEPTDXIJ \
  | 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: 59eda407c6177a88225984a847cc774276c9bafa5ff1bbb6c770ff55984dd29a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d9cdcb5200bc2ae5f139fc001e5744a01757a535713ee83eb091630311de5a2",
    "cross_cats_sorted": [
      "math.GR",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-09-02T15:14:31Z",
    "title_canon_sha256": "36c2ae591a17fb8807c16223bf385fbd8afcac53acd101c581fee997f5909c68"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.0434",
    "kind": "arxiv",
    "version": 1
  }
}