Pith Number

pith:R5Y5QOAN

pith:2011:R5Y5QOANXD2PS2FTV24P4PENPO

not attested not anchored not stored refs pending

On random flights with non-uniformly distributed directions

Alessandro De Gregorio

arxiv:1110.3621 v1 · 2011-10-17 · 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{R5Y5QOANXD2PS2FTV24P4PENPO}

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	2026-05-18T02:00:11.664609Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f71d8380db8f4f968b3aeb8fe3c8d7bb183eac57ac561b37813f238e4646199

Aliases

arxiv: 1110.3621 · arxiv_version: 1110.3621v1 · doi: 10.48550/arxiv.1110.3621 · pith_short_12: R5Y5QOANXD2P · pith_short_16: R5Y5QOANXD2PS2FT · pith_short_8: R5Y5QOAN

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/R5Y5QOANXD2PS2FTV24P4PENPO \
  | 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: 8f71d8380db8f4f968b3aeb8fe3c8d7bb183eac57ac561b37813f238e4646199

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c321c8a3649ae2d6e1d93ec312be40b5dc79ea60ee3eb06a7ef7a93a0c54cdfc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-10-17T09:49:33Z",
    "title_canon_sha256": "d2e0bf5df00ec9a21909f2df0cee9a58f7dc2d9ac6b8330c534417a5fc406b22"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.3621",
    "kind": "arxiv",
    "version": 1
  }
}