Pith Number

pith:OO3S2D32

pith:2013:OO3S2D32UMHKYQAZ4WSKMT33OJ

not attested not anchored not stored refs pending

Limit shapes of bumping routes in the Robinson-Schensted correspondence

Dan Romik, Piotr \'Sniady

arxiv:1304.7589 v2 · 2013-04-29 · 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{OO3S2D32UMHKYQAZ4WSKMT33OJ}

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	2026-05-18T01:26:11.179763Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73b72d0f7aa30eac4019e5a4a64f7b7265c9f7db53ac2d314aedd08b031126a4

Aliases

arxiv: 1304.7589 · arxiv_version: 1304.7589v2 · doi: 10.48550/arxiv.1304.7589 · pith_short_12: OO3S2D32UMHK · pith_short_16: OO3S2D32UMHKYQAZ · pith_short_8: OO3S2D32

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/OO3S2D32UMHKYQAZ4WSKMT33OJ \
  | 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: 73b72d0f7aa30eac4019e5a4a64f7b7265c9f7db53ac2d314aedd08b031126a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57340c9a182075115bd4960b6bb2f028f3a222a6cc516d5412c8ebe43e9223c6",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-04-29T08:17:01Z",
    "title_canon_sha256": "e13a4c39bae2aa07ea27569dc9c2ac6a64ff61942f316bf9c2cae2961c2911ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.7589",
    "kind": "arxiv",
    "version": 2
  }
}