Pith Number

pith:MJ7N24DX

pith:2012:MJ7N24DXMQ66WHC7AES5CLP3B4

not attested not anchored not stored refs pending

Modulus of continuity of a class of monofractal processes

Ben Hambly, Geoffrey Decrouez, Owen Dafydd Jones

arxiv:1211.2895 v2 · 2012-11-13 · 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{MJ7N24DXMQ66WHC7AES5CLP3B4}

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	2026-05-18T03:40:28.256022Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

627edd7077643deb1c5f0125d12dfb0f1ac4cd4c098d546e17e9dd125d8417bc

Aliases

arxiv: 1211.2895 · arxiv_version: 1211.2895v2 · doi: 10.48550/arxiv.1211.2895 · pith_short_12: MJ7N24DXMQ66 · pith_short_16: MJ7N24DXMQ66WHC7 · pith_short_8: MJ7N24DX

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/MJ7N24DXMQ66WHC7AES5CLP3B4 \
  | 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: 627edd7077643deb1c5f0125d12dfb0f1ac4cd4c098d546e17e9dd125d8417bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87622934f788c8e3152be0fafa12c340e84ec3ba789ded987acf17b1c4f7d2f0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-11-13T06:02:16Z",
    "title_canon_sha256": "012edd3e759d1c2f9dd94e3b5bd6b70ab2531ec91784f90237ec68de28eda2e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.2895",
    "kind": "arxiv",
    "version": 2
  }
}