Pith Number

pith:RZG5GXSS

pith:2011:RZG5GXSSYDJ7GGDOLO7VI67344

not attested not anchored not stored refs pending

A Livsic type theorem for germs of analytic diffeomorphisms

Andr\'es Navas, Mario Ponce

arxiv:1110.1911 v1 · 2011-10-10 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RZG5GXSSYDJ7GGDOLO7VI67344}

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	2026-05-18T04:11:19.340131Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e4dd35e52c0d3f3186e5bbf547bfbe73c954c5e5c2e4b9700d0742e5230e944

Aliases

arxiv: 1110.1911 · arxiv_version: 1110.1911v1 · doi: 10.48550/arxiv.1110.1911 · pith_short_12: RZG5GXSSYDJ7 · pith_short_16: RZG5GXSSYDJ7GGDO · pith_short_8: RZG5GXSS

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/RZG5GXSSYDJ7GGDOLO7VI67344 \
  | 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: 8e4dd35e52c0d3f3186e5bbf547bfbe73c954c5e5c2e4b9700d0742e5230e944

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f53dbf4199d9f758cecd30a4f2fa654322742c1449ecbe821a41201b240d2c84",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-10-10T02:37:44Z",
    "title_canon_sha256": "1a7c0e697a040a31c7e59da651a3ffccf53fc6f6eec40b4d57c323d16c2f0c7b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.1911",
    "kind": "arxiv",
    "version": 1
  }
}