Pith Number

pith:3TNUUTZX

pith:2016:3TNUUTZXFF5SLMUASIZB2TDQ4J

not attested not anchored not stored refs pending

Real analyticity of radiation patterns of resonant states on asymptotically hyperbolic manifolds

Claude Zuily (LM-Orsay)

arxiv:1611.10250 v1 · 2016-11-30 · 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{3TNUUTZXFF5SLMUASIZB2TDQ4J}

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	2026-05-18T00:56:10.894509Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dcdb4a4f37297b25b28092321d4c70e24e368054b1efcfb67abf3902d1915a16

Aliases

arxiv: 1611.10250 · arxiv_version: 1611.10250v1 · doi: 10.48550/arxiv.1611.10250 · pith_short_12: 3TNUUTZXFF5S · pith_short_16: 3TNUUTZXFF5SLMUA · pith_short_8: 3TNUUTZX

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/3TNUUTZXFF5SLMUASIZB2TDQ4J \
  | 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: dcdb4a4f37297b25b28092321d4c70e24e368054b1efcfb67abf3902d1915a16

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "264f2934a0a6e374df67a7f4328cacb69cf2c94f96b9e1831133cd5fcb0fc404",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-11-30T16:14:32Z",
    "title_canon_sha256": "dee79231a483587041c8f89de3bb44e4e70c04c790566758407691295094c857"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.10250",
    "kind": "arxiv",
    "version": 1
  }
}