Pith Number

pith:7Z6HM5XX

pith:2025:7Z6HM5XXCFTUNHUQ3GTDFXZJJW

not attested not anchored not stored refs pending

On the $C^2$-local systolic optimality of Zoll odd-symplectic forms

Samanyu Sanjay

arxiv:2512.01937 v3 · 2025-12-01 · 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{7Z6HM5XXCFTUNHUQ3GTDFXZJJW}

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	2026-05-26T02:05:04.292611Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe7c7676f71167469e90d9a632df294dbf102d46473bf6ecd7a70a5076e179dc

Aliases

arxiv: 2512.01937 · arxiv_version: 2512.01937v3 · doi: 10.48550/arxiv.2512.01937 · pith_short_12: 7Z6HM5XXCFTU · pith_short_16: 7Z6HM5XXCFTUNHUQ · pith_short_8: 7Z6HM5XX

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/7Z6HM5XXCFTUNHUQ3GTDFXZJJW \
  | 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: fe7c7676f71167469e90d9a632df294dbf102d46473bf6ecd7a70a5076e179dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77cd9b8139cb331a735251af51829d03d9c80cf2f540e0956ca827d1197b50d6",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2025-12-01T17:50:46Z",
    "title_canon_sha256": "00b75beb48b776ba897d37b36b1ff51cd8668caad82bdd1544bc2fd2482f416e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.01937",
    "kind": "arxiv",
    "version": 3
  }
}