Pith Number

pith:J7GMJPVI

pith:2026:J7GMJPVIXXMW3FKJG4TNHTVIA7

not attested not anchored not stored refs pending

The complex projective plane as a ball quotient

Cindy Tan

arxiv:2607.18710 v1 · 2026-07-21 · math.GT · math.AG · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J7GMJPVIXXMW3FKJG4TNHTVIA7}

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	2026-07-22T01:23:07.778975Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4fccc4bea8bdd96d95493726d3cea807d555e2a9123416044a460fdf293bdf13

Aliases

arxiv: 2607.18710 · arxiv_version: 2607.18710v1 · doi: 10.48550/arxiv.2607.18710 · pith_short_12: J7GMJPVIXXMW · pith_short_16: J7GMJPVIXXMW3FKJ · pith_short_8: J7GMJPVI

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/J7GMJPVIXXMW3FKJG4TNHTVIA7 \
  | 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: 4fccc4bea8bdd96d95493726d3cea807d555e2a9123416044a460fdf293bdf13

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f3db86c8d665907c9389d5da19018f6e13f844fdb369c496711dcccb8aebd08",
    "cross_cats_sorted": [
      "math.AG",
      "math.DG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2026-07-21T05:05:02Z",
    "title_canon_sha256": "8e4e0d1e34283efc201fc233c0c7b4de7d0c758f8c92472a8ddb62778bfefce4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.18710",
    "kind": "arxiv",
    "version": 1
  }
}