Pith Number

pith:O4Z5KTQP

pith:2018:O4Z5KTQPZG2DC25DQOOMSTIT2F

not attested not anchored not stored refs pending

The spectral localizer for even index pairings

Hermann Schulz-Baldes, Terry Loring

arxiv:1802.04517 v1 · 2018-02-13 · math-ph · math.FA · math.KT · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O4Z5KTQPZG2DC25DQOOMSTIT2F}

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.

Cited by

1 paper in Pith

A Guide to the Bott Index and Localizer Index

Receipt and verification

First computed	2026-05-18T00:23:42.213537Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7733d54e0fc9b4316ba3839cc94d13d160fc19a7c33f608263c91d798105578d

Aliases

arxiv: 1802.04517 · arxiv_version: 1802.04517v1 · doi: 10.48550/arxiv.1802.04517 · pith_short_12: O4Z5KTQPZG2D · pith_short_16: O4Z5KTQPZG2DC25D · pith_short_8: O4Z5KTQP

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/O4Z5KTQPZG2DC25DQOOMSTIT2F \
  | 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: 7733d54e0fc9b4316ba3839cc94d13d160fc19a7c33f608263c91d798105578d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "443322a3fc6c4ab347e832a8592bca72d2da121ed80d768183910d9c5e309ce3",
    "cross_cats_sorted": [
      "math.FA",
      "math.KT",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2018-02-13T09:17:40Z",
    "title_canon_sha256": "2290a2929949af185c7c936dcff94e7e8af45e8bbdf62ea233e189630648876e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.04517",
    "kind": "arxiv",
    "version": 1
  }
}