Pith Number

pith:M5CY5P6D

pith:2013:M5CY5P6D4LPURUVHYB4H43NONK

not attested not anchored not stored refs pending

Schur tensor product of operator spaces

Ajay Kumar, Takashi Itoh, Vandana Rajpal

arxiv:1308.4538 v1 · 2013-08-21 · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M5CY5P6D4LPURUVHYB4H43NONK}

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	2026-05-18T03:15:21.752615Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67458ebfc3e2df48d2a7c0787e6dae6a8320f88a367707e59d205cf7dae1c117

Aliases

arxiv: 1308.4538 · arxiv_version: 1308.4538v1 · doi: 10.48550/arxiv.1308.4538 · pith_short_12: M5CY5P6D4LPU · pith_short_16: M5CY5P6D4LPURUVH · pith_short_8: M5CY5P6D

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/M5CY5P6D4LPURUVHYB4H43NONK \
  | 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: 67458ebfc3e2df48d2a7c0787e6dae6a8320f88a367707e59d205cf7dae1c117

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99579becaef91a4efd842c3102f7ab384b39d81be8193bedeb5c89fdce993378",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/publicdomain/",
    "primary_cat": "math.OA",
    "submitted_at": "2013-08-21T11:13:55Z",
    "title_canon_sha256": "2c0ba973f0a6448d114441377f32db83166fad5e99ec031bb9b8eca92e761df3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.4538",
    "kind": "arxiv",
    "version": 1
  }
}