Pith Number

pith:CMNV36ZQ

pith:2017:CMNV36ZQUZXTI6QF63GSH7YUPN

not attested not anchored not stored refs pending

Bilinear representation theorem

Emil Vuorinen, Henri Martikainen, Kangwei Li, Yumeng Ou

arxiv:1706.00190 v1 · 2017-06-01 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CMNV36ZQUZXTI6QF63GSH7YUPN}

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	2026-05-17T23:56:00.244729Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

131b5dfb30a66f347a05f6cd23ff147b6e7d713321b53ca1b3f4db74ae2b0443

Aliases

arxiv: 1706.00190 · arxiv_version: 1706.00190v1 · doi: 10.48550/arxiv.1706.00190 · pith_short_12: CMNV36ZQUZXT · pith_short_16: CMNV36ZQUZXTI6QF · pith_short_8: CMNV36ZQ

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/CMNV36ZQUZXTI6QF63GSH7YUPN \
  | 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: 131b5dfb30a66f347a05f6cd23ff147b6e7d713321b53ca1b3f4db74ae2b0443

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f44621997819b60db8a90d3b6984d26739286a1a93ba6942e2da6f74ebb9e2c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-06-01T07:34:25Z",
    "title_canon_sha256": "22d412c9adc5219eaa50274ac2764a943a32f621e0d9e760a6da451bc29d857a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.00190",
    "kind": "arxiv",
    "version": 1
  }
}