Pith Number

pith:QH5GLIKW

pith:2018:QH5GLIKW7VFWIAULN2Q5SJUMDX

not attested not anchored not stored refs pending

Stack-sorting for Words

Colin Defant, Noah Kravitz

arxiv:1809.09158 v2 · 2018-09-24 · 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{QH5GLIKW7VFWIAULN2Q5SJUMDX}

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	2026-05-17T23:58:47.505380Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81fa65a156fd4b64028b6ea1d9268c1df0e8d2589058f8af75efafa8caea70a1

Aliases

arxiv: 1809.09158 · arxiv_version: 1809.09158v2 · doi: 10.48550/arxiv.1809.09158 · pith_short_12: QH5GLIKW7VFW · pith_short_16: QH5GLIKW7VFWIAUL · pith_short_8: QH5GLIKW

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/QH5GLIKW7VFWIAULN2Q5SJUMDX \
  | 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: 81fa65a156fd4b64028b6ea1d9268c1df0e8d2589058f8af75efafa8caea70a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e4efd6c4371626fbf71090e9b2a3d551a3d56b7fcfc6810edaaa7743e08c8f3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-09-24T18:40:41Z",
    "title_canon_sha256": "617528dea0960f0fef21576bfb9e9bd10d0f9cc4d2c19e04edc0fa06bc103e75"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.09158",
    "kind": "arxiv",
    "version": 2
  }
}