Pith Number

pith:VFRK5K7R

pith:2016:VFRK5K7RCXW2CVFMDCXNYGIBLK

not attested not anchored not stored refs pending

Normalization in Banach scale Lie algebras via mould calculus and applications

David Sauzin (IMCCE), Thierry Paul (CMLS)

arxiv:1607.00780 v2 · 2016-07-04 · math.AP · math-ph · math.DS · math.MP · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VFRK5K7RCXW2CVFMDCXNYGIBLK}

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	2026-05-18T00:48:42.609150Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a962aeabf115eda154ac18aedc19015a837db393f2ff4bd1e9c29da8374e5036

Aliases

arxiv: 1607.00780 · arxiv_version: 1607.00780v2 · doi: 10.48550/arxiv.1607.00780 · pith_short_12: VFRK5K7RCXW2 · pith_short_16: VFRK5K7RCXW2CVFM · pith_short_8: VFRK5K7R

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/VFRK5K7RCXW2CVFMDCXNYGIBLK \
  | 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: a962aeabf115eda154ac18aedc19015a837db393f2ff4bd1e9c29da8374e5036

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "35f0330fd75c51da98d40bb23d1f8ead34adecca60563a51d6dbfbb2ca34e48a",
    "cross_cats_sorted": [
      "math-ph",
      "math.DS",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-07-04T09:04:13Z",
    "title_canon_sha256": "4ef24c685bb11cb18c3abf2d98034c281a072bdfbfc8a9c587f9e5d49a0f626f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.00780",
    "kind": "arxiv",
    "version": 2
  }
}