Pith Number

pith:7OPENMAZ

pith:2006:7OPENMAZQTYUPHGJYHR6NOGFOD

not attested not anchored not stored refs pending

There are no projective surfaces in M_4

David Lehavi

arxiv:math/0610945 v3 · 2006-10-30 · 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{7OPENMAZQTYUPHGJYHR6NOGFOD}

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	2026-05-18T04:08:13.824477Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb9e46b01984f1479cc9c1e3e6b8c570f5c915a0d5a38603a6054fc7f9ea46b3

Aliases

arxiv: math/0610945 · arxiv_version: math/0610945v3 · doi: 10.48550/arxiv.math/0610945 · pith_short_12: 7OPENMAZQTYU · pith_short_16: 7OPENMAZQTYUPHGJ · pith_short_8: 7OPENMAZ

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/7OPENMAZQTYUPHGJYHR6NOGFOD \
  | 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: fb9e46b01984f1479cc9c1e3e6b8c570f5c915a0d5a38603a6054fc7f9ea46b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1cca2fb7b6ccfe99961bf1991d1f00eae18785f1ea479fa76e4f81437bb3d2a",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2006-10-30T19:56:37Z",
    "title_canon_sha256": "1d6daed78d779f5d1f4853c38e60a5da08ce0e59dd10c024f521dd362f538e74"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0610945",
    "kind": "arxiv",
    "version": 3
  }
}