Pith Number

pith:MWSFCO53

pith:2016:MWSFCO53H26KRR4P266SZ2KJBQ

not attested not anchored not stored refs pending

Scarring of quasimodes on hyperbolic manifolds

Lior Silberman, Suresh Eswarathasan

arxiv:1609.04912 v2 · 2016-09-16 · math.AP · math-ph · math.DS · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MWSFCO53H26KRR4P266SZ2KJBQ}

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	2026-05-18T00:46:55.527296Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65a4513bbb3ebca8c78fd7bd2ce9490c25a2cfb5d108f40a654291cf5a8f8d0f

Aliases

arxiv: 1609.04912 · arxiv_version: 1609.04912v2 · doi: 10.48550/arxiv.1609.04912 · pith_short_12: MWSFCO53H26K · pith_short_16: MWSFCO53H26KRR4P · pith_short_8: MWSFCO53

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/MWSFCO53H26KRR4P266SZ2KJBQ \
  | 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: 65a4513bbb3ebca8c78fd7bd2ce9490c25a2cfb5d108f40a654291cf5a8f8d0f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3982b6e8a1f33aab7fe4e8fba80ca70e49841d63d3662ad54dd5fb1a1b1c51c",
    "cross_cats_sorted": [
      "math-ph",
      "math.DS",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-09-16T05:24:12Z",
    "title_canon_sha256": "d319750422d24a8026e3a07348db3f8ff268e3dc08afc95655a063d2bf46f104"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.04912",
    "kind": "arxiv",
    "version": 2
  }
}