Pith Number

pith:4UCFSX3P

pith:2016:4UCFSX3PCIOFUR73R7ZLKGDU4F

not attested not anchored not stored refs pending

Algebraic renormalisation of regularity structures

Lorenzo Zambotti, Martin Hairer, Yvain Bruned

arxiv:1610.08468 v4 · 2016-10-26 · math.RA · 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{4UCFSX3PCIOFUR73R7ZLKGDU4F}

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	2026-05-18T00:00:32.950579Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e504595f6f121c5a47fb8ff2b51874e14726848382f45749620f244ea7d6071e

Aliases

arxiv: 1610.08468 · arxiv_version: 1610.08468v4 · doi: 10.48550/arxiv.1610.08468 · pith_short_12: 4UCFSX3PCIOF · pith_short_16: 4UCFSX3PCIOFUR73 · pith_short_8: 4UCFSX3P

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/4UCFSX3PCIOFUR73R7ZLKGDU4F \
  | 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: e504595f6f121c5a47fb8ff2b51874e14726848382f45749620f244ea7d6071e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9508434f64eaf413d27a5849f5d3c81edb94fa576ad6ead6478b05fca2f0e08e",
    "cross_cats_sorted": [
      "math.AP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2016-10-26T19:10:42Z",
    "title_canon_sha256": "fc2e888e9ea30a1f7cd53d77beceec49f9ce8acb5079b393183a23b32de50ecb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.08468",
    "kind": "arxiv",
    "version": 4
  }
}