Pith Number

pith:4JNLI3VN

pith:2004:4JNLI3VNYMH66ANTTYAPDXC342

not attested not anchored not stored refs pending

Dolbeault cohomology of a loop space

Laszlo Lempert, Ning Zhang

arxiv:math/0403405 v1 · 2004-03-24 · math.CV · math-ph · math.DG · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4JNLI3VNYMH66ANTTYAPDXC342}

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	2026-07-05T04:02:36.307271Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e25ab46eadc30fef01b39e00f1dc5be68424eaa6fbb26bf72362290e8735c0de

Aliases

arxiv: math/0403405 · arxiv_version: math/0403405v1 · doi: 10.48550/arxiv.math/0403405 · pith_short_12: 4JNLI3VNYMH6 · pith_short_16: 4JNLI3VNYMH66ANT · pith_short_8: 4JNLI3VN

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/4JNLI3VNYMH66ANTTYAPDXC342 \
  | 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: e25ab46eadc30fef01b39e00f1dc5be68424eaa6fbb26bf72362290e8735c0de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae2647a69f56e59abf3386b1447b75a1f2cb1f17f76a48902a45b85f18f74067",
    "cross_cats_sorted": [
      "math-ph",
      "math.DG",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.CV",
    "submitted_at": "2004-03-24T08:32:09Z",
    "title_canon_sha256": "416edaaff26e83e27bc6f479ac991fb78a8cceafb6c14c5ea54cd9c2f7072c14"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0403405",
    "kind": "arxiv",
    "version": 1
  }
}