Pith Number

pith:DFQJ44H2

pith:2014:DFQJ44H22Y7F7QC44C22UVC63Q

not attested not anchored not stored refs pending

Power spectrum of the geodesic flow on hyperbolic manifolds

Colin Guillarmou, Fr\'ed\'eric Faure, Semyon Dyatlov

arxiv:1403.0256 v2 · 2014-03-02 · math.DS · 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{DFQJ44H22Y7F7QC44C22UVC63Q}

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	2026-05-18T01:41:58.205657Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

19609e70fad63e5fc05ce0b5aa545edc28d2bc69ac8f4c2675f84486ca51c3f2

Aliases

arxiv: 1403.0256 · arxiv_version: 1403.0256v2 · doi: 10.48550/arxiv.1403.0256 · pith_short_12: DFQJ44H22Y7F · pith_short_16: DFQJ44H22Y7F7QC4 · pith_short_8: DFQJ44H2

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/DFQJ44H22Y7F7QC44C22UVC63Q \
  | 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: 19609e70fad63e5fc05ce0b5aa545edc28d2bc69ac8f4c2675f84486ca51c3f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af79ebdb1862e6ae820912446b7ff381e77bbae1b62ebad075ca7a6e1db3e2d0",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-03-02T18:39:12Z",
    "title_canon_sha256": "cacbc01e701e9fbef7ac695681429d6a1a6ba517c45aa85e1947e7c4559c6c09"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.0256",
    "kind": "arxiv",
    "version": 2
  }
}