Pith Number

pith:3KTU4XSD

pith:2023:3KTU4XSDRJ3TJ2A2IPZUDGRGZR

not attested not anchored not stored refs pending

Mirror symmetric Gamma conjecture for del Pezzo surfaces

Bohan Fang, Junxiao Wang, Yan Zhou

arxiv:2309.02154 v1 · 2023-09-05 · math.AG · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3KTU4XSDRJ3TJ2A2IPZUDGRGZR}

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	2026-07-05T06:47:49.216103Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

daa74e5e438a7734e81a43f3419a26cc626268cfc65ab7292ee4bba814021f94

Aliases

arxiv: 2309.02154 · arxiv_version: 2309.02154v1 · doi: 10.48550/arxiv.2309.02154 · pith_short_12: 3KTU4XSDRJ3T · pith_short_16: 3KTU4XSDRJ3TJ2A2 · pith_short_8: 3KTU4XSD

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/3KTU4XSDRJ3TJ2A2IPZUDGRGZR \
  | 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: daa74e5e438a7734e81a43f3419a26cc626268cfc65ab7292ee4bba814021f94

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0309b80f91c3e6e76493124394dae3b3e2f11c77d8063a16f48086417dea846",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2023-09-05T11:47:06Z",
    "title_canon_sha256": "2a11c7c942e54adf74e9681861da65153e942e61c01771693979e501332953a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2309.02154",
    "kind": "arxiv",
    "version": 1
  }
}