Pith Number

pith:O77OY5NH

pith:2006:O77OY5NHO2IHXE36PHPUCQWTYF

not attested not anchored not stored refs pending

Half-delocalization of eigenfunctions for the Laplacian on an Anosov manifold

Nalini Anantharaman (UMPA-ENSL), St\'ephane Nonnenmacher (SPhT)

arxiv:math-ph/0610019 v2 · 2006-10-09 · math-ph · math.DS · math.MP · nlin.CD

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O77OY5NHO2IHXE36PHPUCQWTYF}

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	2026-05-18T04:08:43.328184Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77feec75a776907b937e79df4142d3c141a368f3a06dff8f34b28df8d8c01c76

Aliases

arxiv: math-ph/0610019 · arxiv_version: math-ph/0610019v2 · doi: 10.48550/arxiv.math-ph/0610019 · pith_short_12: O77OY5NHO2IH · pith_short_16: O77OY5NHO2IHXE36 · pith_short_8: O77OY5NH

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/O77OY5NHO2IHXE36PHPUCQWTYF \
  | 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: 77feec75a776907b937e79df4142d3c141a368f3a06dff8f34b28df8d8c01c76

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "49276645f3732047c919ecb304e95bd959d25ace85889e7bf593a5b0f616d311",
    "cross_cats_sorted": [
      "math.DS",
      "math.MP",
      "nlin.CD"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2006-10-09T18:59:21Z",
    "title_canon_sha256": "8467f00dd5b60c2da81f11bceb72dcf2ba4207e9c3f7b20de4f8ce00d46a931a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0610019",
    "kind": "arxiv",
    "version": 2
  }
}