Pith Number

pith:4WGH2OGI

pith:2017:4WGH2OGIMSHEZWADFNY7DCEWYL

not attested not anchored not stored refs pending

Discretisation of regularity structures

Dirk Erhard, Martin Hairer

arxiv:1705.02836 v2 · 2017-05-08 · 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{4WGH2OGIMSHEZWADFNY7DCEWYL}

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	2026-07-05T08:07:06.706921Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e58c7d38c8648e4cd8032b71f18896c2c0fb4baa2b3bc246a42c178d2f92a618

Aliases

arxiv: 1705.02836 · arxiv_version: 1705.02836v2 · doi: 10.48550/arxiv.1705.02836 · pith_short_12: 4WGH2OGIMSHE · pith_short_16: 4WGH2OGIMSHEZWAD · pith_short_8: 4WGH2OGI

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/4WGH2OGIMSHEZWADFNY7DCEWYL \
  | 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: e58c7d38c8648e4cd8032b71f18896c2c0fb4baa2b3bc246a42c178d2f92a618

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48d656a49357dfd3798723bf3c84e2df964e26eee595849a50e8eddf1eed5d3b",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-05-08T11:45:58Z",
    "title_canon_sha256": "0dae4b1c43fd8774c3cba2c1a16c2c25adc7c1ea63f0ecb289529bb3331d52b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.02836",
    "kind": "arxiv",
    "version": 2
  }
}