Pith Number

pith:QVOAQC62

pith:2013:QVOAQC626N5UQHJR65VL4Y3TIW

not attested not anchored not stored refs pending

Approximation of the spectrum of a manifold by discretization

Erwann Aubry

arxiv:1301.3663 v1 · 2013-01-16 · math.AP · math.DG · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QVOAQC626N5UQHJR65VL4Y3TIW}

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	2026-05-18T03:36:17.178080Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

855c080bdaf37b481d31f76abe63734597cc8c2cce524250138ea9b5eed43a83

Aliases

arxiv: 1301.3663 · arxiv_version: 1301.3663v1 · doi: 10.48550/arxiv.1301.3663 · pith_short_12: QVOAQC626N5U · pith_short_16: QVOAQC626N5UQHJR · pith_short_8: QVOAQC62

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/QVOAQC626N5UQHJR65VL4Y3TIW \
  | 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: 855c080bdaf37b481d31f76abe63734597cc8c2cce524250138ea9b5eed43a83

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2daed822b99601341b865ff1fb6e916abc3d4780b660632e8c37bf0b089aab1",
    "cross_cats_sorted": [
      "math.DG",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-01-16T11:45:40Z",
    "title_canon_sha256": "01a36b459eb97830b0a7d747e0a1d0a69039a72f0b02852c76e64d71c6a9ee38"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.3663",
    "kind": "arxiv",
    "version": 1
  }
}