Pith Number

pith:V6VMI5JE

pith:2004:V6VMI5JESCMNSU2HPZU4VK5C7H

not attested not anchored not stored refs pending

Generalized Bergman kernels on symplectic manifolds

George Marinescu, Xiaonan Ma

arxiv:math/0411559 v3 · 2004-11-24 · math.DG · math.CV · 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{V6VMI5JESCMNSU2HPZU4VK5C7H}

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	2026-05-18T01:33:24.801829Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

afaac475249098d953477e69caaba2f9de3ca7a578f6e0ed6864b06404902d12

Aliases

arxiv: math/0411559 · arxiv_version: math/0411559v3 · doi: 10.48550/arxiv.math/0411559 · pith_short_12: V6VMI5JESCMN · pith_short_16: V6VMI5JESCMNSU2H · pith_short_8: V6VMI5JE

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/V6VMI5JESCMNSU2HPZU4VK5C7H \
  | 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: afaac475249098d953477e69caaba2f9de3ca7a578f6e0ed6864b06404902d12

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ebc7e6e463a378e32274db1bf9af1396082cf0966a5aa0c7e5239c18d72b6e7",
    "cross_cats_sorted": [
      "math.CV",
      "math.SG"
    ],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2004-11-24T18:00:04Z",
    "title_canon_sha256": "35e19e88126ed067046a692652d73c8b25963c44005ec7940f48619f23c13112"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0411559",
    "kind": "arxiv",
    "version": 3
  }
}