Pith Number

pith:P4Z2VA2A

pith:2010:P4Z2VA2AWAGQM4JWFL5ACNY62B

not attested not anchored not stored refs pending

Algebraic aspects of spectral theory

E. B. Davies

arxiv:1006.4438 v1 · 2010-06-23 · 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{P4Z2VA2AWAGQM4JWFL5ACNY62B}

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	2026-05-18T03:02:44.395143Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f33aa8340b00d0671362afa01371ed05e767b992bde48c9be1221098e2ea9b6

Aliases

arxiv: 1006.4438 · arxiv_version: 1006.4438v1 · doi: 10.48550/arxiv.1006.4438 · pith_short_12: P4Z2VA2AWAGQ · pith_short_16: P4Z2VA2AWAGQM4JW · pith_short_8: P4Z2VA2A

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/P4Z2VA2AWAGQM4JWFL5ACNY62B \
  | 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: 7f33aa8340b00d0671362afa01371ed05e767b992bde48c9be1221098e2ea9b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea799a987750f357b59b5be6e4626f61b541fc1a81ab3d304731f1e0e5532e37",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2010-06-23T07:46:44Z",
    "title_canon_sha256": "774bd1b5abb3cfc03feac8a1d9ab9a893f5b344e3510c35845a12facb3c29149"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.4438",
    "kind": "arxiv",
    "version": 1
  }
}