Pith Number

pith:FWU5ZJ6U

pith:2014:FWU5ZJ6UKOP6X45X2DAFF2Y7T5

not attested not anchored not stored refs pending

The spectral density of a difference of spectral projections

Alexander Pushnitski

arxiv:1409.1728 v2 · 2014-09-05 · 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{FWU5ZJ6UKOP6X45X2DAFF2Y7T5}

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	2026-05-18T02:25:32.521687Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2da9dca7d4539febf3b7d0c052eb1f9f690b2b73087d25885f0eae147762629a

Aliases

arxiv: 1409.1728 · arxiv_version: 1409.1728v2 · doi: 10.48550/arxiv.1409.1728 · pith_short_12: FWU5ZJ6UKOP6 · pith_short_16: FWU5ZJ6UKOP6X45X · pith_short_8: FWU5ZJ6U

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/FWU5ZJ6UKOP6X45X2DAFF2Y7T5 \
  | 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: 2da9dca7d4539febf3b7d0c052eb1f9f690b2b73087d25885f0eae147762629a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a4d035cf6e31d8c371805ce17aa2344eeb7c3ff521bb8bf4756f093aa5111eb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2014-09-05T10:23:07Z",
    "title_canon_sha256": "a3949038147b6d887f32049f9291a9c09a8de1b0e3aea1e89bbba0bd4605e90c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.1728",
    "kind": "arxiv",
    "version": 2
  }
}