Pith Number

pith:72WJJIHP

pith:2013:72WJJIHP4UUEDYE3NKYYSRBCKV

not attested not anchored not stored refs pending

Average Error for Spectral Asymptotics on Surfaces

Robert S. Strichartz

arxiv:1301.4963 v1 · 2013-01-21 · math.CA · 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{72WJJIHP4UUEDYE3NKYYSRBCKV}

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	2026-05-18T03:35:55.025465Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

feac94a0efe52841e09b6ab18944225566c1f01cb0981be56396359919cd0ddf

Aliases

arxiv: 1301.4963 · arxiv_version: 1301.4963v1 · doi: 10.48550/arxiv.1301.4963 · pith_short_12: 72WJJIHP4UUE · pith_short_16: 72WJJIHP4UUEDYE3 · pith_short_8: 72WJJIHP

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/72WJJIHP4UUEDYE3NKYYSRBCKV \
  | 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: feac94a0efe52841e09b6ab18944225566c1f01cb0981be56396359919cd0ddf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dcdda29275db3dd88d253252a0d93ff45008ecb47a61b879e1b8dbf626d424b7",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-01-21T19:07:46Z",
    "title_canon_sha256": "c3662f4fdaf3a9d5cac9236cc2e362a8fb594644bd3e4072484d18f05da18c80"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.4963",
    "kind": "arxiv",
    "version": 1
  }
}