Pith Number

pith:HEKGJ57J

pith:2013:HEKGJ57JITULDIYDPQ5K4OFJZ5

not attested not anchored not stored refs pending

Exact representation of truncated variation of Brownian motion

Piotr Mi{\l}o\'s

arxiv:1311.2415 v1 · 2013-11-11 · 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{HEKGJ57JITULDIYDPQ5K4OFJZ5}

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	2026-05-18T03:07:32.715661Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

391464f7e944e8b1a3037c3aae38a9cf4226a52a394b39a3fed5335b7552913a

Aliases

arxiv: 1311.2415 · arxiv_version: 1311.2415v1 · doi: 10.48550/arxiv.1311.2415 · pith_short_12: HEKGJ57JITUL · pith_short_16: HEKGJ57JITULDIYD · pith_short_8: HEKGJ57J

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/HEKGJ57JITULDIYDPQ5K4OFJZ5 \
  | 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: 391464f7e944e8b1a3037c3aae38a9cf4226a52a394b39a3fed5335b7552913a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "001a5036eb63838559bc32d7a4e1d8b1f258ed952db42667a8457a97524c18fb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-11-11T11:09:36Z",
    "title_canon_sha256": "7ba6354688246dadaec5c2581319a8784bbedcb2e41a6fd968b100f7f213f684"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.2415",
    "kind": "arxiv",
    "version": 1
  }
}