Pith Number

pith:75QZ4FBW

pith:2009:75QZ4FBWIJ3ZXB23UOYTFX4MP7

not attested not anchored not stored refs pending

Classical Zariski pairs

Alex Degtyarev

arxiv:0907.1820 v1 · 2009-07-10 · 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{75QZ4FBWIJ3ZXB23UOYTFX4MP7}

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	2026-05-18T04:28:36.595234Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff619e143642779b875ba3b132df8c7fede80fb542f01a85e84d8f27d65c1fd9

Aliases

arxiv: 0907.1820 · arxiv_version: 0907.1820v1 · doi: 10.48550/arxiv.0907.1820 · pith_short_12: 75QZ4FBWIJ3Z · pith_short_16: 75QZ4FBWIJ3ZXB23 · pith_short_8: 75QZ4FBW

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/75QZ4FBWIJ3ZXB23UOYTFX4MP7 \
  | 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: ff619e143642779b875ba3b132df8c7fede80fb542f01a85e84d8f27d65c1fd9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79445e2e486afa5d9855c78401c7b8689ef7e4b7e431984ab3dedd8269ab5c0d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-07-10T13:36:07Z",
    "title_canon_sha256": "9de9bd8b6f8e2a001016ad39bbbb26b8f9f60a9285c4f5e9853b422326d43525"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.1820",
    "kind": "arxiv",
    "version": 1
  }
}