Pith Number

pith:VPOB4X2A

pith:2011:VPOB4X2ARKDHUVVJXZXGEQNJHD

not attested not anchored not stored refs pending

Particle picture interpretation of some Gaussian processes related to fractional Brownian motion

Anna Talarczyk, Tomasz Bojdecki

arxiv:1108.2745 v1 · 2011-08-13 · 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{VPOB4X2ARKDHUVVJXZXGEQNJHD}

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	2026-05-18T04:00:15.725775Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

abdc1e5f408a867a56a9be6e6241a938e8dbd2d65b989cea5ba3eb2984821694

Aliases

arxiv: 1108.2745 · arxiv_version: 1108.2745v1 · doi: 10.48550/arxiv.1108.2745 · pith_short_12: VPOB4X2ARKDH · pith_short_16: VPOB4X2ARKDHUVVJ · pith_short_8: VPOB4X2A

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/VPOB4X2ARKDHUVVJXZXGEQNJHD \
  | 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: abdc1e5f408a867a56a9be6e6241a938e8dbd2d65b989cea5ba3eb2984821694

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc0aad29c0982bd8c0a43f465ac0ea23cf5e1e94cff3cd1052f7e1fe50881151",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-08-13T01:06:14Z",
    "title_canon_sha256": "10fdde836d60fa617c0e3bb627e54af93e27e95424cdb01e08e4ce44e31baac0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.2745",
    "kind": "arxiv",
    "version": 1
  }
}