Pith Number

pith:HHAUVH6L

pith:2010:HHAUVH6LJODQKWXUFSBCOU5SNY

not attested not anchored not stored refs pending

Two Stochastic Models Of a Random Walk In The U(n)-Spherical Duals Of U(n + 1)

F. A. Gr\"unbaum I. Pacharoni, J. Tirao

arxiv:1010.0720 v1 · 2010-10-04 · 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{HHAUVH6LJODQKWXUFSBCOU5SNY}

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	2026-05-18T04:39:50.980613Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39c14a9fcb4b87055af42c822753b26e3c8bbb395e9eabd30718570a287ae78f

Aliases

arxiv: 1010.0720 · arxiv_version: 1010.0720v1 · doi: 10.48550/arxiv.1010.0720 · pith_short_12: HHAUVH6LJODQ · pith_short_16: HHAUVH6LJODQKWXU · pith_short_8: HHAUVH6L

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/HHAUVH6LJODQKWXUFSBCOU5SNY \
  | 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: 39c14a9fcb4b87055af42c822753b26e3c8bbb395e9eabd30718570a287ae78f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2db019d42c152977351f71c00dd617ef02a093db863d358f7b58f8dfdea128b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2010-10-04T22:14:00Z",
    "title_canon_sha256": "118215dba5f76fd345f5190216f54939c17c691f29ae13edeccbadaf19d890a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.0720",
    "kind": "arxiv",
    "version": 1
  }
}