Pith Number

pith:GY7M6V5F

pith:2013:GY7M6V5FDFW6IWWUIXF7R4KEZ2

not attested not anchored not stored refs pending

The $L^2$-cohomology of a bounded smooth Stein Domain is not necessarily Hausdorff

Debraj Chakrabarti, Mei-Chi Shaw

arxiv:1305.5924 v3 · 2013-05-25 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GY7M6V5FDFW6IWWUIXF7R4KEZ2}

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	2026-05-18T02:26:01.118384Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

363ecf57a5196de45ad445cbf8f144ceab1b60c59453ec7db29a9ee7c67c2147

Aliases

arxiv: 1305.5924 · arxiv_version: 1305.5924v3 · doi: 10.48550/arxiv.1305.5924 · pith_short_12: GY7M6V5FDFW6 · pith_short_16: GY7M6V5FDFW6IWWU · pith_short_8: GY7M6V5F

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/GY7M6V5FDFW6IWWUIXF7R4KEZ2 \
  | 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: 363ecf57a5196de45ad445cbf8f144ceab1b60c59453ec7db29a9ee7c67c2147

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb4e38035c5a89d239dcbdfa31182c55570c8c01b2f48571ff67202c88fea3d7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2013-05-25T14:01:58Z",
    "title_canon_sha256": "6858db271d023fb1b44e6b8f7e12472998f206b855fe815ee4bb13f8db4cccca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.5924",
    "kind": "arxiv",
    "version": 3
  }
}