Pith Number

pith:WDYXABVY

pith:2011:WDYXABVYBB2XVZ4WZVMMSBMT7P

not attested not anchored not stored refs pending

Entropy of Schur-Weyl Measures

Sevak Mkrtchyan

arxiv:1107.1541 v2 · 2011-07-08 · math.RT · 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{WDYXABVYBB2XVZ4WZVMMSBMT7P}

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	2026-05-18T02:21:43.306018Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0f17006b808757ae796cd58c90593fbc5cd5e74bb5751642bab9b97d1e0c730

Aliases

arxiv: 1107.1541 · arxiv_version: 1107.1541v2 · doi: 10.48550/arxiv.1107.1541 · pith_short_12: WDYXABVYBB2X · pith_short_16: WDYXABVYBB2XVZ4W · pith_short_8: WDYXABVY

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/WDYXABVYBB2XVZ4WZVMMSBMT7P \
  | 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: b0f17006b808757ae796cd58c90593fbc5cd5e74bb5751642bab9b97d1e0c730

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d09b3911c09475fcb4c13c09f83a5b1df5d83d0ec8dde2613e7e06f23fe6ed29",
    "cross_cats_sorted": [
      "math.CO",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2011-07-08T00:53:57Z",
    "title_canon_sha256": "ff8b519f6dc9090ce9b077aa20a3f23f0d7911f189125022ac8b9e5eabb74149"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.1541",
    "kind": "arxiv",
    "version": 2
  }
}