Pith Number

pith:DNPPWFDZ

pith:2005:DNPPWFDZ2AYWY5WEHK44FRC2CK

not attested not anchored not stored refs pending

The first coefficients of the asymptotic expansion of the Bergman kernel of the spin^c Dirac operator

George Marinescu, Xiaonan Ma

arxiv:math/0511395 v2 · 2005-11-16 · math.CV · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DNPPWFDZ2AYWY5WEHK44FRC2CK}

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	2026-05-18T01:33:34.265648Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b5efb1479d0316c76c43ab9c2c45a12b64d377df598f72e24e8653586cde251

Aliases

arxiv: math/0511395 · arxiv_version: math/0511395v2 · doi: 10.48550/arxiv.math/0511395 · pith_short_12: DNPPWFDZ2AYW · pith_short_16: DNPPWFDZ2AYWY5WE · pith_short_8: DNPPWFDZ

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/DNPPWFDZ2AYWY5WEHK44FRC2CK \
  | 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: 1b5efb1479d0316c76c43ab9c2c45a12b64d377df598f72e24e8653586cde251

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f7626857132ef6ea84ca412bdc3580d59573912f6e0b464380391d2f7bba97e",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "",
    "primary_cat": "math.CV",
    "submitted_at": "2005-11-16T08:49:04Z",
    "title_canon_sha256": "b3647e93aee59ebc59733bb8be82a16cfe593d81f56923d6c88d5e09a680d2e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0511395",
    "kind": "arxiv",
    "version": 2
  }
}