Pith Number

pith:UB7E5GBE

pith:2010:UB7E5GBEZWKT3AHALMDZNBHM6P

not attested not anchored not stored refs pending

Generalised Weyl theorems and spectral pollution in the Galerkin method

Lyonell Boulton, Mathieu Lewin (AGM), Nabile Boussaid (LM-Besan\c{c}on)

arxiv:1011.3634 v2 · 2010-11-16 · 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{UB7E5GBEZWKT3AHALMDZNBHM6P}

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	2026-05-18T03:51:25.795303Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a07e4e9824cd953d80e05b079684ecf3ed8773e8517ff6b4e05e7f91f057b39a

Aliases

arxiv: 1011.3634 · arxiv_version: 1011.3634v2 · doi: 10.48550/arxiv.1011.3634 · pith_short_12: UB7E5GBEZWKT · pith_short_16: UB7E5GBEZWKT3AHA · pith_short_8: UB7E5GBE

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/UB7E5GBEZWKT3AHALMDZNBHM6P \
  | 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: a07e4e9824cd953d80e05b079684ecf3ed8773e8517ff6b4e05e7f91f057b39a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "598c8185d637d7515c823f5ca345fcbbd5eb565ff11670e68f8d73a6315aa4bd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2010-11-16T10:08:21Z",
    "title_canon_sha256": "68265da412392fcb014f03a171cd44b6ed945a21b46650c6155e5aa6203e4dc9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.3634",
    "kind": "arxiv",
    "version": 2
  }
}