Pith Number

pith:GJ3QMGGI

pith:2016:GJ3QMGGIJQLM7NBMQ46HUFRQGS

not attested not anchored not stored refs pending

Nakamaye's theorem on complex manifolds

Valentino Tosatti

arxiv:1603.00319 v4 · 2016-03-01 · 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{GJ3QMGGIJQLM7NBMQ46HUFRQGS}

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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	2026-05-17T23:49:34.056210Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32770618c84c16cfb42c873c7a1630348aac4d60e5d06f01aa2ea46f766b2700

Aliases

arxiv: 1603.00319 · arxiv_version: 1603.00319v4 · doi: 10.48550/arxiv.1603.00319 · pith_short_12: GJ3QMGGIJQLM · pith_short_16: GJ3QMGGIJQLM7NBM · pith_short_8: GJ3QMGGI

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/GJ3QMGGIJQLM7NBMQ46HUFRQGS \
  | 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: 32770618c84c16cfb42c873c7a1630348aac4d60e5d06f01aa2ea46f766b2700

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ecbb9b706859e0bec05448901547898958aa8e0f11c3e8eb522a7c214a00d04f",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-03-01T15:23:29Z",
    "title_canon_sha256": "d9407086816c53980fe7231472a46570e07093cd58cacf7222bb7bfbd93b7bc4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.00319",
    "kind": "arxiv",
    "version": 4
  }
}