Pith Number

pith:RTEI3R7X

pith:2016:RTEI3R7XYGWHWKZDTBP4N6FVFN

not attested not anchored not stored refs pending

Spherically Symmetric Random Permutations

Alexander Gnedin, Vadim Gorin

arxiv:1611.01860 v1 · 2016-11-06 · math.PR · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RTEI3R7XYGWHWKZDTBP4N6FVFN}

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	2026-05-18T01:00:04.306620Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8cc88dc7f7c1ac7b2b23985fc6f8b52b49da896f7fc8e5ccacd5fa8211ea88cd

Aliases

arxiv: 1611.01860 · arxiv_version: 1611.01860v1 · doi: 10.48550/arxiv.1611.01860 · pith_short_12: RTEI3R7XYGWH · pith_short_16: RTEI3R7XYGWHWKZD · pith_short_8: RTEI3R7X

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/RTEI3R7XYGWHWKZDTBP4N6FVFN \
  | 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: 8cc88dc7f7c1ac7b2b23985fc6f8b52b49da896f7fc8e5ccacd5fa8211ea88cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc8899c79bbb5fb2524fd9d460d79519a5a55b18a68da2300bca91f4dfc4a788",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-11-06T23:57:48Z",
    "title_canon_sha256": "dc53bd2967bc36e4e2ac4ca4c33dc9b3fee1e1cc12bfb5f3d74d4fd74a0bb304"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.01860",
    "kind": "arxiv",
    "version": 1
  }
}