Pith Number

pith:5XVIDSA7

pith:2013:5XVIDSA7BBAC3ZI5HZQFT7UUHQ

not attested not anchored not stored refs pending

Resonance asymptotics for asymptotically hyperbolic manifolds with warped-product ends

David Borthwick, Pascal Philipp

arxiv:1308.3528 v1 · 2013-08-16 · math.SP · 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{5XVIDSA7BBAC3ZI5HZQFT7UUHQ}

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	2026-05-18T03:15:44.671332Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

edea81c81f08402de51d3e6059fe943c1591747c34f2084902123c560f9a1670

Aliases

arxiv: 1308.3528 · arxiv_version: 1308.3528v1 · doi: 10.48550/arxiv.1308.3528 · pith_short_12: 5XVIDSA7BBAC · pith_short_16: 5XVIDSA7BBAC3ZI5 · pith_short_8: 5XVIDSA7

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/5XVIDSA7BBAC3ZI5HZQFT7UUHQ \
  | 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: edea81c81f08402de51d3e6059fe943c1591747c34f2084902123c560f9a1670

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bed13a262a1bdf5fddc7ebfed11f4dead8b76a0beda83d267f64312d3eed98e0",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2013-08-16T00:33:56Z",
    "title_canon_sha256": "72ae68f4977d6f1c68a12a1dab244ebbc8aa7c1f580a4cb77e564705f8c5700c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.3528",
    "kind": "arxiv",
    "version": 1
  }
}