Pith Number

pith:MNP666IS

pith:2008:MNP666ISZ46EPSJQJRXIR5NR74

not attested not anchored not stored refs pending

Lecture notes on duality and interpolation spaces

Michael Cwikel

arxiv:0803.3558 v2 · 2008-03-25 · 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{MNP666ISZ46EPSJQJRXIR5NR74}

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	2026-05-18T02:38:53.486412Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

635fef7912cf3c47c9304c6e88f5b1ff0b734336a33857ebfcd5331dd4af041c

Aliases

arxiv: 0803.3558 · arxiv_version: 0803.3558v2 · doi: 10.48550/arxiv.0803.3558 · pith_short_12: MNP666ISZ46E · pith_short_16: MNP666ISZ46EPSJQ · pith_short_8: MNP666IS

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/MNP666ISZ46EPSJQJRXIR5NR74 \
  | 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: 635fef7912cf3c47c9304c6e88f5b1ff0b734336a33857ebfcd5331dd4af041c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eaef41b770a72a43022dbecec251781f4cd0b9daa49d826d5147dab9dfd961e2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2008-03-25T13:23:36Z",
    "title_canon_sha256": "b3a6c85a187d842baae408e181dbc9fdbe192e25c31706959679ef82f2054c0e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0803.3558",
    "kind": "arxiv",
    "version": 2
  }
}