Pith Number

pith:DRJGGHUE

pith:2026:DRJGGHUECFADD7E4MJRKIOZREU

not attested not anchored not stored refs pending

Ultrapowers of spectral subspaces

Hiroshi Ando, Isaac Goldbring

arxiv:2605.21873 v1 · 2026-05-21 · math.OA · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DRJGGHUECFADD7E4MJRKIOZREU}

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	2026-05-22T01:04:12.438195Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1c52631e84114031fc9c6262a43b31252049e58043ca82241c3d7cc69598e387

Aliases

arxiv: 2605.21873 · arxiv_version: 2605.21873v1 · doi: 10.48550/arxiv.2605.21873 · pith_short_12: DRJGGHUECFAD · pith_short_16: DRJGGHUECFADD7E4 · pith_short_8: DRJGGHUE

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/DRJGGHUECFADD7E4MJRKIOZREU \
  | 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: 1c52631e84114031fc9c6262a43b31252049e58043ca82241c3d7cc69598e387

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7648a3dbd6f34f9de0c1905eb2ea3f31fdeef75b838b91fe36ebf14d9459c73f",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2026-05-21T01:34:47Z",
    "title_canon_sha256": "050e279fcca48892559d24cdad72894791d0423f2fc4c9b6a377af9828c49976"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.21873",
    "kind": "arxiv",
    "version": 1
  }
}