Pith Number

pith:CVFRE7Y3

pith:2016:CVFRE7Y3GZMNWPMPVG4H3JG3MU

not attested not anchored not stored refs pending

Pre-Hilbert spaces without orthonormal bases

Saka\'e Fuchino

arxiv:1606.03869 v2 · 2016-06-13 · math.LO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CVFRE7Y3GZMNWPMPVG4H3JG3MU}

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	2026-05-18T01:11:54.429706Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

154b127f1b3658db3d8fa9b87da4db653fd26d7641963adf7250ac6ff11586cd

Aliases

arxiv: 1606.03869 · arxiv_version: 1606.03869v2 · doi: 10.48550/arxiv.1606.03869 · pith_short_12: CVFRE7Y3GZMN · pith_short_16: CVFRE7Y3GZMNWPMP · pith_short_8: CVFRE7Y3

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/CVFRE7Y3GZMNWPMPVG4H3JG3MU \
  | 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: 154b127f1b3658db3d8fa9b87da4db653fd26d7641963adf7250ac6ff11586cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5bc962a891b97852d4401a2d3971282c7ea193b7ccf439202d22449e5bd2f648",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2016-06-13T09:26:49Z",
    "title_canon_sha256": "dd2c48523ace22c943a9a90e3c5ccb0a69205819ce89ead15672ca8cdf7ba2fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.03869",
    "kind": "arxiv",
    "version": 2
  }
}