Pith Number

pith:DFMAS2CB

pith:2015:DFMAS2CBMWAJ73TWYD75TDRDG2

not attested not anchored not stored refs pending

Derived complex analytic geometry II: square-zero extensions

Mauro Porta

arxiv:1507.06602 v1 · 2015-07-23 · 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{DFMAS2CBMWAJ73TWYD75TDRDG2}

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	2026-05-18T01:36:24.540871Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

195809684165809fee76c0ffd98e2336b0a9a2082f9515b09127dc1cc8fb00d4

Aliases

arxiv: 1507.06602 · arxiv_version: 1507.06602v1 · doi: 10.48550/arxiv.1507.06602 · pith_short_12: DFMAS2CBMWAJ · pith_short_16: DFMAS2CBMWAJ73TW · pith_short_8: DFMAS2CB

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/DFMAS2CBMWAJ73TWYD75TDRDG2 \
  | 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: 195809684165809fee76c0ffd98e2336b0a9a2082f9515b09127dc1cc8fb00d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "71245135d0aaa10f6182540606b9ec5082ecc39e4184c8de3e108c8512a5495b",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-07-23T18:32:17Z",
    "title_canon_sha256": "6e2f349050498053d7c640d1440716f2fa32afcc9e4c35bfd2fab5331b623d74"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.06602",
    "kind": "arxiv",
    "version": 1
  }
}