Pith Number

pith:XPBCE2ZR

pith:2018:XPBCE2ZRFU52W2LHLWQBD2R42T

not attested not anchored not stored refs pending

Spectral flow argument localizing an odd index pairing

Hermann Schulz-Baldes, Terry Loring

arxiv:1802.04518 v2 · 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{XPBCE2ZRFU52W2LHLWQBD2R42T}

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	2026-05-18T00:14:53.808911Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbc2226b312d3bab69675da011ea3cd4d679ce99cf3527ce5ba44ba082776527

Aliases

arxiv: 1802.04518 · arxiv_version: 1802.04518v2 · doi: 10.48550/arxiv.1802.04518 · pith_short_12: XPBCE2ZRFU52 · pith_short_16: XPBCE2ZRFU52W2LH · pith_short_8: XPBCE2ZR

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/XPBCE2ZRFU52W2LHLWQBD2R42T \
  | 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: bbc2226b312d3bab69675da011ea3cd4d679ce99cf3527ce5ba44ba082776527

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "977f3b7628a938851712afe86a69e570ba1fc9bbfa8bf8e51562d4742d765222",
    "cross_cats_sorted": [
      "math.FA",
      "math.KT",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2018-02-13T09:21:50Z",
    "title_canon_sha256": "0ed9f89d1b9419b74d88b07258a1fdf182fcab438118fb2996766ee343880606"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.04518",
    "kind": "arxiv",
    "version": 2
  }
}