Pith Number

pith:E3XNB76R

pith:2012:E3XNB76RH4N4XLNPSK6CIRZKJV

not attested not anchored not stored refs pending

Topological radicals, V. From algebra to spectral theory

Victor S. Shulman, Yuri V. Turovskii

arxiv:1208.4609 v1 · 2012-08-22 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E3XNB76RH4N4XLNPSK6CIRZKJV}

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	2026-05-18T03:48:13.011522Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

26eed0ffd13f1bcbadaf92bc24472a4d4c2951d33664e8e20740542795fd52e7

Aliases

arxiv: 1208.4609 · arxiv_version: 1208.4609v1 · doi: 10.48550/arxiv.1208.4609 · pith_short_12: E3XNB76RH4N4 · pith_short_16: E3XNB76RH4N4XLNP · pith_short_8: E3XNB76R

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/E3XNB76RH4N4XLNPSK6CIRZKJV \
  | 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: 26eed0ffd13f1bcbadaf92bc24472a4d4c2951d33664e8e20740542795fd52e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "946f19dd1262a26cbf5f889c6877f8ef60f5b6661b40e2c332715facf5f839dc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-08-22T20:02:25Z",
    "title_canon_sha256": "a232bfb7dbe57c3c5550b845dcbcea80013590275cfaa012097c967e2f2edb81"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.4609",
    "kind": "arxiv",
    "version": 1
  }
}