Pith Number

pith:3DVRBKIF

pith:2018:3DVRBKIFOQ24CHB7YI27MQ6D4U

not attested not anchored not stored refs pending

Cauchy data spaces and Atiyah-Patodi-Singer index on non-compact manifolds

Pengshuai Shi

arxiv:1803.01884 v1 · 2018-03-05 · 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{3DVRBKIFOQ24CHB7YI27MQ6D4U}

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	2026-05-18T00:04:49.648377Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8eb10a9057435c11c3fc235f643c3e51bba6ea93b8a364cfd3d054349ab4105

Aliases

arxiv: 1803.01884 · arxiv_version: 1803.01884v1 · doi: 10.48550/arxiv.1803.01884 · pith_short_12: 3DVRBKIFOQ24 · pith_short_16: 3DVRBKIFOQ24CHB7 · pith_short_8: 3DVRBKIF

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/3DVRBKIFOQ24CHB7YI27MQ6D4U \
  | 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: d8eb10a9057435c11c3fc235f643c3e51bba6ea93b8a364cfd3d054349ab4105

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6fe559f03b58d6aad43fd33d796138e2cadb3c6b7abb04a43c36d4013f834f90",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-03-05T19:10:57Z",
    "title_canon_sha256": "35baab171cba9f90fc1ebbd15023abbac30e8e777879aee91e42d32e3c8a66e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.01884",
    "kind": "arxiv",
    "version": 1
  }
}