Pith Number

pith:PTCGQ6SX

pith:2017:PTCGQ6SX6KTXNMH2UNPE4WAPVT

not attested not anchored not stored refs pending

Notes on Tensor Product Measures

Shigeru Yamagami

arxiv:1701.03215 v1 · 2017-01-12 · 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{PTCGQ6SX6KTXNMH2UNPE4WAPVT}

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	2026-05-18T00:52:58.213276Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7cc4687a57f2a776b0faa35e4e580facdbf6c20d2a55e37ed6dbf99271982c6c

Aliases

arxiv: 1701.03215 · arxiv_version: 1701.03215v1 · doi: 10.48550/arxiv.1701.03215 · pith_short_12: PTCGQ6SX6KTX · pith_short_16: PTCGQ6SX6KTXNMH2 · pith_short_8: PTCGQ6SX

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/PTCGQ6SX6KTXNMH2UNPE4WAPVT \
  | 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: 7cc4687a57f2a776b0faa35e4e580facdbf6c20d2a55e37ed6dbf99271982c6c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "592987d8094f8b982f7d8c6422bfaffb4c7d0a5f5ba5cd843b9ac5d02393b8ec",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-01-12T02:37:47Z",
    "title_canon_sha256": "618745227f57b7ae4a1e114087715a7a714cc84a2d321ee2a5b6d99dd918750a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.03215",
    "kind": "arxiv",
    "version": 1
  }
}