Pith Number

pith:A3JQNMDF

pith:2010:A3JQNMDFR5G2FWFT3BZC6W3BKX

not attested not anchored not stored refs pending

On the structure of the essential spectrum of elliptic operators on metric spaces

Vladimir Georgescu

arxiv:1003.3454 v2 · 2010-03-17 · math-ph · math.MP · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A3JQNMDFR5G2FWFT3BZC6W3BKX}

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	2026-05-18T02:24:36.811399Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06d306b0658f4da2d8b3d8722f5b6155db194daa61e3b276eff63acc74162de1

Aliases

arxiv: 1003.3454 · arxiv_version: 1003.3454v2 · doi: 10.48550/arxiv.1003.3454 · pith_short_12: A3JQNMDFR5G2 · pith_short_16: A3JQNMDFR5G2FWFT · pith_short_8: A3JQNMDF

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/A3JQNMDFR5G2FWFT3BZC6W3BKX \
  | 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: 06d306b0658f4da2d8b3d8722f5b6155db194daa61e3b276eff63acc74162de1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1b6cf6f64f745f944b35d70e7a12a92d41256a7968080ac7a3d2ac91fc19a77",
    "cross_cats_sorted": [
      "math.MP",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-03-17T20:09:02Z",
    "title_canon_sha256": "96f5d33ccd3bc8823624db5d31bb97f6bb32b88f016d82896f4aad5335447166"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.3454",
    "kind": "arxiv",
    "version": 2
  }
}