Pith Number

pith:5GILBMHA

pith:2005:5GILBMHABV5G6V5XU7VNY3YT4I

not attested not anchored not stored refs pending

The principle of a single big jump: discrete and continuous time modulated random walks with heavy-tailed increments

Sergey Foss, Stan Zachary, Takis Konstantopoulos

arxiv:math/0509605 v1 · 2005-09-26 · 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{5GILBMHABV5G6V5XU7VNY3YT4I}

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	2026-05-18T00:29:21.976563Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e990b0b0e00d7a6f57b7a7eadc6f13e21a96f2a94b63eaa7ad4d46174449e64b

Aliases

arxiv: math/0509605 · arxiv_version: math/0509605v1 · doi: 10.48550/arxiv.math/0509605 · pith_short_12: 5GILBMHABV5G · pith_short_16: 5GILBMHABV5G6V5X · pith_short_8: 5GILBMHA

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/5GILBMHABV5G6V5XU7VNY3YT4I \
  | 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: e990b0b0e00d7a6f57b7a7eadc6f13e21a96f2a94b63eaa7ad4d46174449e64b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cfe03a8011102ccbab1f9f262ec8137c67453d74eed308a9ebe4caf5b37ff57e",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2005-09-26T18:49:47Z",
    "title_canon_sha256": "c2d6d52d5ec472be7870ab888919c8343240a70dc1d6897790c561797975bbab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0509605",
    "kind": "arxiv",
    "version": 1
  }
}