Pith Number

pith:TTHCISPN

pith:1994:TTHCISPNQERVYWJUNTSUYTN6QC

not attested not anchored not stored refs pending

Type and cotype with respect to arbitrary orthonormal systems

Marius Junge, Stefan Geiss

arxiv:math/9401205 v1 · 1994-01-04 · 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{TTHCISPNQERVYWJUNTSUYTN6QC}

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	2026-05-18T01:05:51.734345Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9cce2449ed81235c59346ce54c4dbe80a24a022a25658427c159f66676e8e33f

Aliases

arxiv: math/9401205 · arxiv_version: math/9401205v1 · doi: 10.48550/arxiv.math/9401205 · pith_short_12: TTHCISPNQERV · pith_short_16: TTHCISPNQERVYWJU · pith_short_8: TTHCISPN

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/TTHCISPNQERVYWJUNTSUYTN6QC \
  | 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: 9cce2449ed81235c59346ce54c4dbe80a24a022a25658427c159f66676e8e33f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c1f943b4128d4fcc2fc33c7dcf8dd8c18731e04131decca5c1ef565e6a7c58c",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.FA",
    "submitted_at": "1994-01-04T17:10:25Z",
    "title_canon_sha256": "bb32c0c13b3c6074ba298b7b1405259f0abad559829c89ceea643685b9eb4008"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9401205",
    "kind": "arxiv",
    "version": 1
  }
}