Pith Number

pith:573UHXQO

pith:2013:573UHXQOSNDBU62OSMVCHFAHUK

not attested not anchored not stored refs pending

A note on causality in Banach spaces

Marcus Waurick

arxiv:1306.3851 v3 · 2013-06-17 · 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{573UHXQOSNDBU62OSMVCHFAHUK}

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	2026-05-18T02:56:51.975503Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eff743de0e93461a7b4e932a239407a2b7fabfe99325569b924b82ab7b6f188e

Aliases

arxiv: 1306.3851 · arxiv_version: 1306.3851v3 · doi: 10.48550/arxiv.1306.3851 · pith_short_12: 573UHXQOSNDB · pith_short_16: 573UHXQOSNDBU62O · pith_short_8: 573UHXQO

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/573UHXQOSNDBU62OSMVCHFAHUK \
  | 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: eff743de0e93461a7b4e932a239407a2b7fabfe99325569b924b82ab7b6f188e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f9e1a1126151940a3cc60321c68006f807ee76bfaef6db56741d79587f3b0be",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-06-17T13:29:20Z",
    "title_canon_sha256": "f8ca349ff72a4c769abe21e771223ce1996d3b176e33e4c15cc38598e14c4c21"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.3851",
    "kind": "arxiv",
    "version": 3
  }
}