Pith Number

pith:IS3JULTC

pith:2013:IS3JULTCK2SQIGCS5S37NXMBDE

not attested not anchored not stored refs pending

Ergodic and Mixing Properties of the Boussinesq Equations with a Degenerate Random Forcing

Enrique Thomann, Geordie Richards, Juraj F\"oldes, Nathan Glatt-Holtz

arxiv:1311.3620 v1 · 2013-11-14 · math.AP · 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{IS3JULTCK2SQIGCS5S37NXMBDE}

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	2026-05-18T03:07:04.348089Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44b69a2e6256a5041852ecb7f6dd81192ca4e5f6f161b361db3710be309b37f6

Aliases

arxiv: 1311.3620 · arxiv_version: 1311.3620v1 · doi: 10.48550/arxiv.1311.3620 · pith_short_12: IS3JULTCK2SQ · pith_short_16: IS3JULTCK2SQIGCS · pith_short_8: IS3JULTC

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/IS3JULTCK2SQIGCS5S37NXMBDE \
  | 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: 44b69a2e6256a5041852ecb7f6dd81192ca4e5f6f161b361db3710be309b37f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ff5796b7e419270fc3c8dfaef93d5ddc74178771218843a61bbbc5f15711dc5",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-11-14T19:35:05Z",
    "title_canon_sha256": "c7a7d3ed5b14e8fb4d8cba1c2709a73374a2261d066d2775087290e0bd099aa4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.3620",
    "kind": "arxiv",
    "version": 1
  }
}