Pith Number

pith:5ZC5HD3F

pith:2026:5ZC5HD3FGV7D55QTBICZ3UDUSS

not attested not anchored not stored refs pending

A general paracontrolled ansatz for singular SPDEs

Nicolas Moench, Yvain Bruned

arxiv:2608.09700 v1 · 2026-08-10 · math.PR · math.AP · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5ZC5HD3FGV7D55QTBICZ3UDUSS}

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	2026-08-11T02:24:50.215252Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee45d38f65357e3ef6130a059dd07494a44515c14d22bb6e6b1250b91937ba01

Aliases

arxiv: 2608.09700 · arxiv_version: 2608.09700v1 · doi: 10.48550/arxiv.2608.09700 · pith_short_12: 5ZC5HD3FGV7D · pith_short_16: 5ZC5HD3FGV7D55QT · pith_short_8: 5ZC5HD3F

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/5ZC5HD3FGV7D55QTBICZ3UDUSS \
  | 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: ee45d38f65357e3ef6130a059dd07494a44515c14d22bb6e6b1250b91937ba01

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec226c56239eb78999fb61a2eb1e7e13a1163008e4a195aa85f895fe5e9505f6",
    "cross_cats_sorted": [
      "math.AP",
      "math.RA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-08-10T15:06:06Z",
    "title_canon_sha256": "45e26f0977c975964b01473c652d08301ee8bba3542f0590d42948070fe1ed4d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.09700",
    "kind": "arxiv",
    "version": 1
  }
}