Pith Number

pith:SPRMA3P4

pith:2013:SPRMA3P4SPG7L6TBGE26MTRUOK

not attested not anchored not stored refs pending

Hadamard Type Asymptotics for Eigenvalues of the Neumann Problem for Elliptic Operators

Johan Thim, Vladimir Kozlov

arxiv:1310.7967 v3 · 2013-10-29 · math.AP · 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{SPRMA3P4SPG7L6TBGE26MTRUOK}

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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	2026-05-18T02:31:02.387425Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93e2c06dfc93cdf5fa613135e64e3472a69d635531d541c5e5b654a3b8ed7c52

Aliases

arxiv: 1310.7967 · arxiv_version: 1310.7967v3 · doi: 10.48550/arxiv.1310.7967 · pith_short_12: SPRMA3P4SPG7 · pith_short_16: SPRMA3P4SPG7L6TB · pith_short_8: SPRMA3P4

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/SPRMA3P4SPG7L6TBGE26MTRUOK \
  | 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: 93e2c06dfc93cdf5fa613135e64e3472a69d635531d541c5e5b654a3b8ed7c52

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d87110e2666622e69e8257f14a527f350392845ac210f003f324fd163d6c56fd",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-10-29T21:00:34Z",
    "title_canon_sha256": "cf69504374956df3543e56c3f7d0a72f4e9d3b695addd9e8c032d3b1b4bee309"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.7967",
    "kind": "arxiv",
    "version": 3
  }
}