Pith Number

pith:GSGOK7T4

pith:2017:GSGOK7T4TGQS2KQFSIY7O3NOX5

not attested not anchored not stored refs pending

Block size in Geometric(p)-biased permutations

Erin Beckman, Irina Cristali, Jake Steinberg, James Nolen, Matthew Junge, Rick Durrett, Vinit Ranjan

arxiv:1708.05626 v4 · 2017-08-18 · 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{GSGOK7T4TGQS2KQFSIY7O3NOX5}

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	2026-05-18T00:08:15.993588Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

348ce57e7c99a12d2a059231f76daebf60749f3bba113ad2fed38a296697d322

Aliases

arxiv: 1708.05626 · arxiv_version: 1708.05626v4 · doi: 10.48550/arxiv.1708.05626 · pith_short_12: GSGOK7T4TGQS · pith_short_16: GSGOK7T4TGQS2KQF · pith_short_8: GSGOK7T4

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/GSGOK7T4TGQS2KQFSIY7O3NOX5 \
  | 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: 348ce57e7c99a12d2a059231f76daebf60749f3bba113ad2fed38a296697d322

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21ecc71a009b85c5dcd2350d19b038535df683fceb864935a6338b1fb44a16dd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-08-18T14:23:57Z",
    "title_canon_sha256": "04f0a31f06304aa0f54d6ced9c9bd420b1c5ba05b348a797a4b3009fcc2d0db2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.05626",
    "kind": "arxiv",
    "version": 4
  }
}