Pith Number

pith:TC7FNFU5

pith:2010:TC7FNFU5HCV356CN3D5QV4P3J6

not attested not anchored not stored refs pending

Spectral Asymptotics Revisited

Robert S. Strichartz

arxiv:1012.0272 v3 · 2010-12-01 · math.SP · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TC7FNFU5HCV356CN3D5QV4P3J6}

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	2026-05-18T04:10:12.484950Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98be56969d38abbef84dd8fb0af1fb4fa330bb932e221684bc065f5f3600d29a

Aliases

arxiv: 1012.0272 · arxiv_version: 1012.0272v3 · doi: 10.48550/arxiv.1012.0272 · pith_short_12: TC7FNFU5HCV3 · pith_short_16: TC7FNFU5HCV356CN · pith_short_8: TC7FNFU5

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/TC7FNFU5HCV356CN3D5QV4P3J6 \
  | 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: 98be56969d38abbef84dd8fb0af1fb4fa330bb932e221684bc065f5f3600d29a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8bcb46658bcaaac658d88f6fddf47cce91e8c37da25c915c3f932baf5462693f",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2010-12-01T18:49:55Z",
    "title_canon_sha256": "a92e3072b2d15dea5eeacf3d8e314daad6182e2efd7e9f24585f8a2cb7f89fd8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.0272",
    "kind": "arxiv",
    "version": 3
  }
}