Pith Number

pith:PU6FWEUG

pith:2019:PU6FWEUGXY5U7CKNDO5CWI5F73

not attested not anchored not stored refs pending

Higher order deformations of hyperbolic spectra

Morten S. Risager, Yiannis N. Petridis

arxiv:1907.00800 v1 · 2019-07-01 · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PU6FWEUGXY5U7CKNDO5CWI5F73}

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	2026-05-17T23:41:48.051437Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d3c5b1286be3b4f894d1bba2b23a5fedf315f54a3986c1dbf1268728e877bdc

Aliases

arxiv: 1907.00800 · arxiv_version: 1907.00800v1 · doi: 10.48550/arxiv.1907.00800 · pith_short_12: PU6FWEUGXY5U · pith_short_16: PU6FWEUGXY5U7CKN · pith_short_8: PU6FWEUG

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/PU6FWEUGXY5U7CKNDO5CWI5F73 \
  | 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: 7d3c5b1286be3b4f894d1bba2b23a5fedf315f54a3986c1dbf1268728e877bdc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd780c82aed49a6023cf72cac5c65337658c42730eeb998ae0ade469d1e958ce",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2019-07-01T14:07:26Z",
    "title_canon_sha256": "15aa4053fb074e7b679efe248fbebef70e22e186c6b760ea846affd78302d859"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.00800",
    "kind": "arxiv",
    "version": 1
  }
}