Pith Number

pith:XU4VRTQE

pith:2008:XU4VRTQE4DWDTCUJB2EY7LLHCV

not attested not anchored not stored refs pending

Analytic equivalence of normal crossing functions on a real analytic manifold

Goulwen Fichou (IRMAR), Masahiro Shiota

arxiv:0811.4569 v2 · 2008-11-27 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XU4VRTQE4DWDTCUJB2EY7LLHCV}

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	2026-05-18T02:58:10.905847Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd3958ce04e0ec398a890e898fad6715683d08a7f0e58012e87136ab21b003f4

Aliases

arxiv: 0811.4569 · arxiv_version: 0811.4569v2 · doi: 10.48550/arxiv.0811.4569 · pith_short_12: XU4VRTQE4DWD · pith_short_16: XU4VRTQE4DWDTCUJ · pith_short_8: XU4VRTQE

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/XU4VRTQE4DWDTCUJB2EY7LLHCV \
  | 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: bd3958ce04e0ec398a890e898fad6715683d08a7f0e58012e87136ab21b003f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "125714150e7cf2edc2e2df1c10f010a07c5dc4df5cd4ac45f371bad101a6f0b9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2008-11-27T15:48:48Z",
    "title_canon_sha256": "8b574fa3192fb4ff9ad82f8c5caa223b30af4daa526fc5afdb2ff7f5c6db6703"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0811.4569",
    "kind": "arxiv",
    "version": 2
  }
}