Pith Number

pith:6SCFC5CC

pith:2024:6SCFC5CC24DQOVEYDCS22OZXI5

not attested not anchored not stored refs pending

Local expansion properties of paracontrolled systems

I. Bailleul, N. Moench

arxiv:2412.12670 v1 · 2024-12-17 · 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{6SCFC5CC24DQOVEYDCS22OZXI5}

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.

Cited by

1 paper in Pith

A general paracontrolled ansatz for singular SPDEs

Receipt and verification

First computed	2026-07-05T09:50:18.911633Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f484517442d70707549818a5ad3b3747782c547d3e344046b449d2ef8b685007

Aliases

arxiv: 2412.12670 · arxiv_version: 2412.12670v1 · doi: 10.48550/arxiv.2412.12670 · pith_short_12: 6SCFC5CC24DQ · pith_short_16: 6SCFC5CC24DQOVEY · pith_short_8: 6SCFC5CC

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/6SCFC5CC24DQOVEYDCS22OZXI5 \
  | 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: f484517442d70707549818a5ad3b3747782c547d3e344046b449d2ef8b685007

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d53a13837ef6d5061ad4bb76b31ba4a3a376e09c56803892366a361e3210433",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2024-12-17T08:40:56Z",
    "title_canon_sha256": "313a1c90dd0ab52c4c793d54f2ed08a02c8279f2cd5fa56e42e199d562c3dad0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.12670",
    "kind": "arxiv",
    "version": 1
  }
}