Pith Number

pith:NTWCNEUJ

pith:2011:NTWCNEUJ6Q4GJSUMZA2OEIFDDR

not attested not anchored not stored refs pending

Exponents, symmetry groups and classification of operator fractional Brownian motions

Gustavo Didier, Vladas Pipiras

arxiv:1101.4563 v1 · 2011-01-24 · 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{NTWCNEUJ6Q4GJSUMZA2OEIFDDR}

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	2026-05-18T04:31:10.872118Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6cec269289f43864ca8cc834e220a31c566b1ff98626a001b2946b3cbd55e73a

Aliases

arxiv: 1101.4563 · arxiv_version: 1101.4563v1 · doi: 10.48550/arxiv.1101.4563 · pith_short_12: NTWCNEUJ6Q4G · pith_short_16: NTWCNEUJ6Q4GJSUM · pith_short_8: NTWCNEUJ

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/NTWCNEUJ6Q4GJSUMZA2OEIFDDR \
  | 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: 6cec269289f43864ca8cc834e220a31c566b1ff98626a001b2946b3cbd55e73a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "40ad78dfb785f11703c3ac9013f0956ed527857b0458c8076638ec7773e3e5a5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-01-24T15:10:45Z",
    "title_canon_sha256": "ccf1f089be5e3422ae551924f2c0c9a73816ab7335f708ca8f6f95f3f1724406"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.4563",
    "kind": "arxiv",
    "version": 1
  }
}