Pith Number

pith:7MMXEE4T

pith:2013:7MMXEE4TKPXZ2BNNT7ZMIM5POA

not attested not anchored not stored refs pending

Exceptional collections on 2-adically uniformised fake projective planes

Najmuddin Fakhruddin

arxiv:1310.3020 v3 · 2013-10-11 · 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{7MMXEE4TKPXZ2BNNT7ZMIM5POA}

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	2026-05-18T02:51:50.234792Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb1972139353ef9d05ad9ff2c433af700c13257ed74d09e8340167cea4a03334

Aliases

arxiv: 1310.3020 · arxiv_version: 1310.3020v3 · doi: 10.48550/arxiv.1310.3020 · pith_short_12: 7MMXEE4TKPXZ · pith_short_16: 7MMXEE4TKPXZ2BNN · pith_short_8: 7MMXEE4T

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/7MMXEE4TKPXZ2BNNT7ZMIM5POA \
  | 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: fb1972139353ef9d05ad9ff2c433af700c13257ed74d09e8340167cea4a03334

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b51c7f9e274ab6f9ec852ae106a87dfaaa37a4d917e75fe0d547f93889509a4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-10-11T04:57:02Z",
    "title_canon_sha256": "878e35cacc5be4041efc06da1d6a52ae97027af0f5b299e10c83a66262f654dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.3020",
    "kind": "arxiv",
    "version": 3
  }
}