Pith Number

pith:WIBJ6J2U

pith:2009:WIBJ6J2UIUXIALSQIEDBB6WRJ3

not attested not anchored not stored refs pending

Rigidification of holomorphic germs with non-invertible differential

Matteo Ruggiero

arxiv:0911.4023 v2 · 2009-11-20 · 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{WIBJ6J2UIUXIALSQIEDBB6WRJ3}

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	2026-05-18T04:32:43.675664Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2029f2754452e802e50410610fad14ec5fd2958794784955760aa35e0ba9b3e

Aliases

arxiv: 0911.4023 · arxiv_version: 0911.4023v2 · doi: 10.48550/arxiv.0911.4023 · pith_short_12: WIBJ6J2UIUXI · pith_short_16: WIBJ6J2UIUXIALSQ · pith_short_8: WIBJ6J2U

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/WIBJ6J2UIUXIALSQIEDBB6WRJ3 \
  | 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: b2029f2754452e802e50410610fad14ec5fd2958794784955760aa35e0ba9b3e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "284c03666cfac47efc24634f3149f9578414240e56ce469496985728ff0fe18b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2009-11-20T11:59:53Z",
    "title_canon_sha256": "c413e74301eb0c2a4250d423e524582671180ab90aaa2e6106bff334dfd2fb8d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.4023",
    "kind": "arxiv",
    "version": 2
  }
}