Pith Number

pith:M7LTBGS5

pith:2002:M7LTBGS5BTTOVZZQNUGAAXMUKX

not attested not anchored not stored refs pending

Lipschitz spaces and M-ideals

Dirk Werner, Heiko Berninger

arxiv:math/0201144 v1 · 2002-01-16 · 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{M7LTBGS5BTTOVZZQNUGAAXMUKX}

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	2026-05-18T04:26:44.105611Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67d7309a5d0ce6eae7306d0c005d9455d495c59e1cab1c1caeb338ef3c77ab92

Aliases

arxiv: math/0201144 · arxiv_version: math/0201144v1 · doi: 10.48550/arxiv.math/0201144 · pith_short_12: M7LTBGS5BTTO · pith_short_16: M7LTBGS5BTTOVZZQ · pith_short_8: M7LTBGS5

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/M7LTBGS5BTTOVZZQNUGAAXMUKX \
  | 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: 67d7309a5d0ce6eae7306d0c005d9455d495c59e1cab1c1caeb338ef3c77ab92

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "171f2fff8da4f6e088bdc8a7ec292507ec5b866f58a0a7742f961ec9d7985074",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.FA",
    "submitted_at": "2002-01-16T14:00:18Z",
    "title_canon_sha256": "f0b8c7a9e30cb4b086d725b8c9d290f1d4e00359fee1457adaa4d85599b551ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0201144",
    "kind": "arxiv",
    "version": 1
  }
}