Pith Number

pith:F5QVZHYJ

pith:2016:F5QVZHYJWH4ACQTU6Z5NATE55O

not attested not anchored not stored refs pending

Classical and quantum resonances for hyperbolic surfaces

Colin Guillarmou, Joachim Hilgert, Tobias Weich

arxiv:1605.08801 v3 · 2016-05-27 · math.DS · math.DG · 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{F5QVZHYJWH4ACQTU6Z5NATE55O}

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	2026-05-18T00:39:13.459953Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f615c9f09b1f8014274f67ad04c9deba368d4c88a7ff73934b3b1e8ce6ed27d

Aliases

arxiv: 1605.08801 · arxiv_version: 1605.08801v3 · doi: 10.48550/arxiv.1605.08801 · pith_short_12: F5QVZHYJWH4A · pith_short_16: F5QVZHYJWH4ACQTU · pith_short_8: F5QVZHYJ

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/F5QVZHYJWH4ACQTU6Z5NATE55O \
  | 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: 2f615c9f09b1f8014274f67ad04c9deba368d4c88a7ff73934b3b1e8ce6ed27d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e60e1e8bcc3974e2f896317b1b0cb0fd2a27ec20900f3a7c112fd886fc4fa63c",
    "cross_cats_sorted": [
      "math.DG",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-05-27T21:11:02Z",
    "title_canon_sha256": "418ae8ff65df2a28d4f6a23477301476989cc59cba93b9243673fb52cbc6a4a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.08801",
    "kind": "arxiv",
    "version": 3
  }
}