Pith Number

pith:CAX5A3GC

pith:2012:CAX5A3GCTXLGNXHW6INQAPQLTO

not attested not anchored not stored refs pending

Convergence of invariant measures for singular stochastic diffusion equations

Ioana Ciotir, Jonas M. T\"olle

arxiv:1201.2839 v1 · 2012-01-13 · math.PR · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CAX5A3GCTXLGNXHW6INQAPQLTO}

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	2026-05-18T03:56:22.094764Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

102fd06cc29dd666dcf6f21b003e0b9b8c200e622e68c4d26f7187006d4473b7

Aliases

arxiv: 1201.2839 · arxiv_version: 1201.2839v1 · doi: 10.48550/arxiv.1201.2839 · pith_short_12: CAX5A3GCTXLG · pith_short_16: CAX5A3GCTXLGNXHW · pith_short_8: CAX5A3GC

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/CAX5A3GCTXLGNXHW6INQAPQLTO \
  | 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: 102fd06cc29dd666dcf6f21b003e0b9b8c200e622e68c4d26f7187006d4473b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba87cf3100fd4dcaa21629d7b79e9e3ca54b4b2b8e560b01e89d793c2601e1db",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-01-13T13:49:25Z",
    "title_canon_sha256": "4a8cebd8a8678bef23ef652ca7d1515a3b75eeaaed2ad1559173d74d6d2e77a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.2839",
    "kind": "arxiv",
    "version": 1
  }
}