Pith Number

pith:7YL6E3R6

pith:2010:7YL6E3R6HCXH3D7ZOEMI4OSWSX

not attested not anchored not stored refs pending

Grauert's theorem for subanalytic open sets in real analytic manifolds

Daniel Barlet, Teresa Monteiro Fernandes

arxiv:1011.4208 v2 · 2010-11-18 · math.AG · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7YL6E3R6HCXH3D7ZOEMI4OSWSX}

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	2026-05-18T04:24:45.160681Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe17e26e3e38ae7d8ff971188e3a5695d751c2540a2b851c396ba2e217b79406

Aliases

arxiv: 1011.4208 · arxiv_version: 1011.4208v2 · doi: 10.48550/arxiv.1011.4208 · pith_short_12: 7YL6E3R6HCXH · pith_short_16: 7YL6E3R6HCXH3D7Z · pith_short_8: 7YL6E3R6

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/7YL6E3R6HCXH3D7ZOEMI4OSWSX \
  | 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: fe17e26e3e38ae7d8ff971188e3a5695d751c2540a2b851c396ba2e217b79406

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d21f0aa2e09a71bd9138ee1be8d9b72642a3e46c78827cbec2b51d63ad429637",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-11-18T15:12:09Z",
    "title_canon_sha256": "af0845d9076afc60f661cccb751ffaa59deb37456bd4998a49b8fc89cc08aeef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.4208",
    "kind": "arxiv",
    "version": 2
  }
}