Pith Number

pith:6BFRGR2B

pith:2021:6BFRGR2BOGEFJ7OKORWRADU4CK

not attested not anchored not stored refs pending

Notes on real interpolation of operator $L_p$-spaces

Marius Junge, Quanhua Xu

arxiv:2107.08404 v2 · 2021-07-18 · math.OA · 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{6BFRGR2BOGEFJ7OKORWRADU4CK}

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	2026-07-05T03:14:23.482589Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f04b134741718854fdca746d100e9c1283110c3195ccd707b1f254b58ef241ae

Aliases

arxiv: 2107.08404 · arxiv_version: 2107.08404v2 · doi: 10.48550/arxiv.2107.08404 · pith_short_12: 6BFRGR2BOGEF · pith_short_16: 6BFRGR2BOGEFJ7OK · pith_short_8: 6BFRGR2B

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/6BFRGR2BOGEFJ7OKORWRADU4CK \
  | 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: f04b134741718854fdca746d100e9c1283110c3195ccd707b1f254b58ef241ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84319ecf80397e9e9c6375e4f1f238826aaaeb5fa72771a18cccdc075fc3aefb",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2021-07-18T09:45:40Z",
    "title_canon_sha256": "5bf550ed8258633cc0d57af5db708954f193d0f9f1ee43b9acaa1b0131b1aa43"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.08404",
    "kind": "arxiv",
    "version": 2
  }
}