Pith Number

pith:37DB3CCJ

pith:2023:37DB3CCJ2ILPNNLJ3AB2DQDGCR

not attested not anchored not stored refs pending

Variable Fofana's Spaces and their Pre-dual

Fan Yang, Jiang Zhou

arxiv:2301.07595 v1 · 2023-01-18 · 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{37DB3CCJ2ILPNNLJ3AB2DQDGCR}

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	2026-07-05T05:34:10.898844Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dfc61d8849d216f6b569d803a1c066145c72c0286345aa10efcf0c21668e2a73

Aliases

arxiv: 2301.07595 · arxiv_version: 2301.07595v1 · doi: 10.48550/arxiv.2301.07595 · pith_short_12: 37DB3CCJ2ILP · pith_short_16: 37DB3CCJ2ILPNNLJ · pith_short_8: 37DB3CCJ

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/37DB3CCJ2ILPNNLJ3AB2DQDGCR \
  | 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: dfc61d8849d216f6b569d803a1c066145c72c0286345aa10efcf0c21668e2a73

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae689322c5d53eb3d0e79d243671b09f8e7a9d32b9ab8b2eac931d6f4bb36833",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2023-01-18T15:18:24Z",
    "title_canon_sha256": "106a22a19cd4ec76e857a8c68cb266ea8ed691f2fd9c6630d825a5bc1e963c21"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2301.07595",
    "kind": "arxiv",
    "version": 1
  }
}