Pith Number

pith:P3N3NAH6

pith:2025:P3N3NAH6BHT3JSS3MOHZN67HA6

not attested not anchored not stored refs pending

First eigenvalue estimates on complete balanced Hermitian manifolds

Liangdi Zhang

arxiv:2511.01297 v2 · 2025-11-03 · math.DG · math.CV · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P3N3NAH6BHT3JSS3MOHZN67HA6}

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	2026-07-07T02:17:12.743017Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7edbb680fe09e7b4ca5b638f96fbe70796669e382a45778f140978dc136e4d02

Aliases

arxiv: 2511.01297 · arxiv_version: 2511.01297v2 · doi: 10.48550/arxiv.2511.01297 · pith_short_12: P3N3NAH6BHT3 · pith_short_16: P3N3NAH6BHT3JSS3 · pith_short_8: P3N3NAH6

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/P3N3NAH6BHT3JSS3MOHZN67HA6 \
  | 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: 7edbb680fe09e7b4ca5b638f96fbe70796669e382a45778f140978dc136e4d02

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c4960eb43e06ce1466fbc4f2a44e170855385c0ce5bdf22bcd5f7ae603e55ab",
    "cross_cats_sorted": [
      "math.CV",
      "math.SP"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2025-11-03T07:30:02Z",
    "title_canon_sha256": "fd5754095d1d1197a1299d64fe391c80acc622d8fd4d86d7156fc3d443b78a98"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2511.01297",
    "kind": "arxiv",
    "version": 2
  }
}