Pith Number

pith:44O7E3HC

pith:2026:44O7E3HCWTTPNBMPAE6K4P6UXE

not attested not anchored not stored refs pending

Theta correspondence and the Borisov-Gunnells relations

Romain Branchereau

arxiv:2602.01473 v3 · 2026-02-01 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{44O7E3HCWTTPNBMPAE6K4P6UXE}

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	2026-07-17T00:20:44.336345Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e71df26ce2b4e6f6858f013cae3fd4b90cdc5e5ca56ae674970e5f6b6f7aa253

Aliases

arxiv: 2602.01473 · arxiv_version: 2602.01473v3 · doi: 10.48550/arxiv.2602.01473 · pith_short_12: 44O7E3HCWTTP · pith_short_16: 44O7E3HCWTTPNBMP · pith_short_8: 44O7E3HC

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/44O7E3HCWTTPNBMPAE6K4P6UXE \
  | 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: e71df26ce2b4e6f6858f013cae3fd4b90cdc5e5ca56ae674970e5f6b6f7aa253

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8adb14b5594ae8055ba3b25ca479b986018b1da5369c12b4f8d25ab9bf669845",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-02-01T22:38:10Z",
    "title_canon_sha256": "366465b01708e91be3d6a8cfaa8f5803f6ba837c8bfa916f0b55e94691e8d9cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2602.01473",
    "kind": "arxiv",
    "version": 3
  }
}