Pith Number

pith:XXVINDKX

pith:2011:XXVINDKX6CFKR2Z2MK6NLYOEOV

not attested not anchored not stored refs pending

Continuous Gaussian multifractional processes with random pointwise H\"older regularity

Antoine Ayache

arxiv:1109.1617 v2 · 2011-09-08 · 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{XXVINDKX6CFKR2Z2MK6NLYOEOV}

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	2026-05-18T04:02:01.812142Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bdea868d57f08aa8eb3a62bcd5e1c4756ab0b3a75b90c179082e4983428921c7

Aliases

arxiv: 1109.1617 · arxiv_version: 1109.1617v2 · doi: 10.48550/arxiv.1109.1617 · pith_short_12: XXVINDKX6CFK · pith_short_16: XXVINDKX6CFKR2Z2 · pith_short_8: XXVINDKX

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/XXVINDKX6CFKR2Z2MK6NLYOEOV \
  | 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: bdea868d57f08aa8eb3a62bcd5e1c4756ab0b3a75b90c179082e4983428921c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd83a73bbb44b1523f8510ea74de09fb77a65db9acc05dfe3f3c736f816dc19b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-09-08T02:53:11Z",
    "title_canon_sha256": "3d999dd735767c3009d7cad35f89a99c1e8842f5fd91784fd0fe655565225e19"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.1617",
    "kind": "arxiv",
    "version": 2
  }
}