Pith Number

pith:PMJ7E2QP

pith:2025:PMJ7E2QPNBJWO4BTGVLR3WUNSG

not attested not anchored not stored refs pending

Finding equations of the fake projective plane $(C18,p=3,\{2I\})$

Bojue Wang, Lev Borisov

arxiv:2512.03213 v2 · 2025-12-02 · 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{PMJ7E2QPNBJWO4BTGVLR3WUNSG}

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	2026-08-04T01:52:04.178894Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b13f26a0f685367703335571dda8d91b0ac8122faa717ae070c4620b2d80c2f

Aliases

arxiv: 2512.03213 · arxiv_version: 2512.03213v2 · doi: 10.48550/arxiv.2512.03213 · pith_short_12: PMJ7E2QPNBJW · pith_short_16: PMJ7E2QPNBJWO4BT · pith_short_8: PMJ7E2QP

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/PMJ7E2QPNBJWO4BTGVLR3WUNSG \
  | 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: 7b13f26a0f685367703335571dda8d91b0ac8122faa717ae070c4620b2d80c2f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b085bc753d98502d3bef816563a29d1e7f2a56fe252d867c2aa16407a2513f3c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-12-02T20:35:45Z",
    "title_canon_sha256": "f418cb4e27a66d57148db233d95ad5a7103027fcfea4c09e91ba3bc2b16bd508"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.03213",
    "kind": "arxiv",
    "version": 2
  }
}