Pith Number

pith:7SG7NP5K

pith:2009:7SG7NP5K4MDU67P74QRNXEUBDK

not attested not anchored not stored refs pending

Asymptotic fluctuations of representations of the unitary groups

Benoit Coll\^ins, Piotr \'Sniady

arxiv:0911.5546 v2 · 2009-11-30 · math.RT · math-ph · math.MP · 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{7SG7NP5K4MDU67P74QRNXEUBDK}

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	2026-05-18T03:18:38.862044Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc8df6bfaae3074f7dffe422db92811aae7773a98b8f92ca3c79c0cfa31bcfe2

Aliases

arxiv: 0911.5546 · arxiv_version: 0911.5546v2 · doi: 10.48550/arxiv.0911.5546 · pith_short_12: 7SG7NP5K4MDU · pith_short_16: 7SG7NP5K4MDU67P7 · pith_short_8: 7SG7NP5K

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/7SG7NP5K4MDU67P74QRNXEUBDK \
  | 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: fc8df6bfaae3074f7dffe422db92811aae7773a98b8f92ca3c79c0cfa31bcfe2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7a1f50bf5d9accc2fc30c7d59178173160430a955ec2f0738adfcab77140c90",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2009-11-30T05:40:23Z",
    "title_canon_sha256": "d6470b3eb72184e7c77ddb0863d8075f2f966e1b0c446c91a3fbca37c4f276e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.5546",
    "kind": "arxiv",
    "version": 2
  }
}