Pith Number

pith:EDOB6WVM

pith:2014:EDOB6WVMS2CCE645K3FFOL42TH

not attested not anchored not stored refs pending

Stochastic monotonicity in Young graph and Thoma theorem

Alexey Bufetov, Vadim Gorin

arxiv:1411.3307 v1 · 2014-11-12 · math.CO · math.PR · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EDOB6WVMS2CCE645K3FFOL42TH}

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	2026-05-18T01:19:20.702264Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

20dc1f5aac9684227b9d56ca572f9a99d2d464138ec044c87d2458b696ba8322

Aliases

arxiv: 1411.3307 · arxiv_version: 1411.3307v1 · doi: 10.48550/arxiv.1411.3307 · pith_short_12: EDOB6WVMS2CC · pith_short_16: EDOB6WVMS2CCE645 · pith_short_8: EDOB6WVM

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/EDOB6WVMS2CCE645K3FFOL42TH \
  | 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: 20dc1f5aac9684227b9d56ca572f9a99d2d464138ec044c87d2458b696ba8322

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d6c5dd01698b4dba664e7cdd9ce636c3d90dcce6df05cc251e63964d0f0094b",
    "cross_cats_sorted": [
      "math.PR",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-11-12T20:25:42Z",
    "title_canon_sha256": "8294937cefd2a5e21f8b54c2e5a3e6baab7d6202d8861376a7d0f3f2ae1a4dd2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.3307",
    "kind": "arxiv",
    "version": 1
  }
}