Pith Number

pith:7CXTL6IN

pith:2014:7CXTL6INXZ7U5QKDYRM3IWUNAQ

not attested not anchored not stored refs pending

On the singularities of the Szeg\"o projections on lower energy forms

Chin-Yu Hsiao, George Marinescu

arxiv:1407.6305 v2 · 2014-07-23 · math.CV · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7CXTL6INXZ7U5QKDYRM3IWUNAQ}

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	2026-05-18T00:34:32.040471Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8af35f90dbe7f4ec143c459b45a8d04013662a40238f6574e6d4f9b2d17f512

Aliases

arxiv: 1407.6305 · arxiv_version: 1407.6305v2 · doi: 10.48550/arxiv.1407.6305 · pith_short_12: 7CXTL6INXZ7U · pith_short_16: 7CXTL6INXZ7U5QKD · pith_short_8: 7CXTL6IN

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/7CXTL6INXZ7U5QKDYRM3IWUNAQ \
  | 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: f8af35f90dbe7f4ec143c459b45a8d04013662a40238f6574e6d4f9b2d17f512

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "577e31d5d97da8dbd40d798514994485c104c9f8d4b15f35e2759de45a31ce8c",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2014-07-23T17:34:39Z",
    "title_canon_sha256": "78a0890a0d91add46b7bcf440f14732b1f3e58683263ccb56f0626c20b219e0a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.6305",
    "kind": "arxiv",
    "version": 2
  }
}