Pith Number

pith:4V6MPOG5

pith:2016:4V6MPOG5XMHMVYI64CC4Q3UDGH

not attested not anchored not stored refs pending

Bands in $L_p$-spaces

Hendrik Vogt, J\"urgen Voigt

arxiv:1603.07681 v3 · 2016-03-24 · 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{4V6MPOG5XMHMVYI64CC4Q3UDGH}

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	2026-05-18T01:00:39.518164Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e57cc7b8ddbb0ecae11ee085c86e8331c133e61140f2c5935d31df650a681388

Aliases

arxiv: 1603.07681 · arxiv_version: 1603.07681v3 · doi: 10.48550/arxiv.1603.07681 · pith_short_12: 4V6MPOG5XMHM · pith_short_16: 4V6MPOG5XMHMVYI6 · pith_short_8: 4V6MPOG5

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/4V6MPOG5XMHMVYI64CC4Q3UDGH \
  | 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: e57cc7b8ddbb0ecae11ee085c86e8331c133e61140f2c5935d31df650a681388

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "893f27c53cb9a19e1165817d5eb49469db34dcdf858948b9ea6d39b0844cb861",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-03-24T17:47:29Z",
    "title_canon_sha256": "64f680fc92e12916cd4337b23211036d4cc9d97c5944e9066ad92a0a4c434b83"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.07681",
    "kind": "arxiv",
    "version": 3
  }
}