Pith Number

pith:I7G3QJGM

pith:2014:I7G3QJGMY5RTMRAPHQCU7Y7DH2

not attested not anchored not stored refs pending

Singularities of the wave trace for the Friedlander model

David Jerison, Victor Guillemin, Yves Colin de Verdiere

arxiv:1412.7592 v1 · 2014-12-24 · 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{I7G3QJGMY5RTMRAPHQCU7Y7DH2}

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	2026-05-18T02:30:33.449665Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47cdb824ccc76336440f3c054fe3e33e9e9c029bff70f53b8680a7f8df7a83e0

Aliases

arxiv: 1412.7592 · arxiv_version: 1412.7592v1 · doi: 10.48550/arxiv.1412.7592 · pith_short_12: I7G3QJGMY5RT · pith_short_16: I7G3QJGMY5RTMRAP · pith_short_8: I7G3QJGM

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/I7G3QJGMY5RTMRAPHQCU7Y7DH2 \
  | 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: 47cdb824ccc76336440f3c054fe3e33e9e9c029bff70f53b8680a7f8df7a83e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9be0be003e39570830c1a4aca6a8e4c18f8d9138b1c17d702aa52abf26e00f4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-12-24T03:11:20Z",
    "title_canon_sha256": "7df625566dea561988583267d437d0102be1682ab9413723d7e49901bc75cd04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.7592",
    "kind": "arxiv",
    "version": 1
  }
}