Pith Number

pith:375KMO64

pith:2016:375KMO64ACLZWEC6V4M5BNU5NU

not attested not anchored not stored refs pending

The scattering operator on asymptotically hyperbolic manifolds

Ant\^onio S\'a Barreto, Yiran Wang

arxiv:1609.02332 v1 · 2016-09-08 · 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{375KMO64ACLZWEC6V4M5BNU5NU}

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	2026-05-18T01:04:54.890888Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dffaa63bdc00979b105eaf19d0b69d6d29144a0f3b84902de0bdd5cff1db2e66

Aliases

arxiv: 1609.02332 · arxiv_version: 1609.02332v1 · doi: 10.48550/arxiv.1609.02332 · pith_short_12: 375KMO64ACLZ · pith_short_16: 375KMO64ACLZWEC6 · pith_short_8: 375KMO64

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/375KMO64ACLZWEC6V4M5BNU5NU \
  | 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: dffaa63bdc00979b105eaf19d0b69d6d29144a0f3b84902de0bdd5cff1db2e66

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d9e9ad2434d20a9f4670175eec25486996c1dfa770f203ea6289fd491303706",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-09-08T08:55:57Z",
    "title_canon_sha256": "4c54dd5331a967129a1191b2b207332363472b07ede88638a11c95a8c4e0e1c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.02332",
    "kind": "arxiv",
    "version": 1
  }
}