Pith Number

pith:F3OJF2SM

pith:2015:F3OJF2SMO6YCKY5XFFDOAALS27

not attested not anchored not stored refs pending

Derived complex analytic geometry I: GAGA theorems

Mauro Porta

arxiv:1506.09042 v3 · 2015-06-30 · math.AG · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F3OJF2SMO6YCKY5XFFDOAALS27}

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	2026-05-17T23:57:33.283340Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2edc92ea4c77b02563b72946e00172d7c6b97bf502072159c03075cbcf6dcae1

Aliases

arxiv: 1506.09042 · arxiv_version: 1506.09042v3 · doi: 10.48550/arxiv.1506.09042 · pith_short_12: F3OJF2SMO6YC · pith_short_16: F3OJF2SMO6YCKY5X · pith_short_8: F3OJF2SM

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/F3OJF2SMO6YCKY5XFFDOAALS27 \
  | 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: 2edc92ea4c77b02563b72946e00172d7c6b97bf502072159c03075cbcf6dcae1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "633177845629d317ad4334749091ddc10ffcdafb268062351be409d4e1a3bc93",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-06-30T11:34:29Z",
    "title_canon_sha256": "205e6b5bb16193e7251d57594c4ac689ee6d1cd152578ab4392c84aeaf5be382"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.09042",
    "kind": "arxiv",
    "version": 3
  }
}