Pith Number

pith:3FR5MHRL

pith:2013:3FR5MHRLERQO2PWUSKHU2KUKMC

not attested not anchored not stored refs pending

2-Stack Sorting is polynomial

Adeline Pierrot (LIAFA), Dominique Rossin (LIX)

arxiv:1304.2860 v1 · 2013-04-10 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3FR5MHRLERQO2PWUSKHU2KUKMC}

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	2026-05-18T03:28:28.097290Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d963d61e2b2460ed3ed4928f4d2a8a60b2fc431f1d38a130fbf95c3d6189e395

Aliases

arxiv: 1304.2860 · arxiv_version: 1304.2860v1 · doi: 10.48550/arxiv.1304.2860 · pith_short_12: 3FR5MHRLERQO · pith_short_16: 3FR5MHRLERQO2PWU · pith_short_8: 3FR5MHRL

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/3FR5MHRLERQO2PWUSKHU2KUKMC \
  | 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: d963d61e2b2460ed3ed4928f4d2a8a60b2fc431f1d38a130fbf95c3d6189e395

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7df834b038cf950f17cb9713d3e13180f27722705b30190e0d6aa1a436dbce72",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-04-10T07:20:16Z",
    "title_canon_sha256": "03fa7fd9de99d75b24d836cfe82c22c5f6678bd2475fa993a78909fa2760a6df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.2860",
    "kind": "arxiv",
    "version": 1
  }
}