Pith Number

pith:YCG3HPH5

pith:2015:YCG3HPH5AVBQKASVZQNE4J4PUL

not attested not anchored not stored refs pending

On cluster systems of tensor product systems of Hilbert spaces

Mithun Mukherjee

arxiv:1502.03247 v1 · 2015-02-11 · 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{YCG3HPH5AVBQKASVZQNE4J4PUL}

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	2026-05-18T02:27:19.908204Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c08db3bcfd0543050255cc1a4e278fa2f7e36bd276d7fa9fc66432e0df378323

Aliases

arxiv: 1502.03247 · arxiv_version: 1502.03247v1 · doi: 10.48550/arxiv.1502.03247 · pith_short_12: YCG3HPH5AVBQ · pith_short_16: YCG3HPH5AVBQKASV · pith_short_8: YCG3HPH5

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/YCG3HPH5AVBQKASVZQNE4J4PUL \
  | 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: c08db3bcfd0543050255cc1a4e278fa2f7e36bd276d7fa9fc66432e0df378323

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bfda4409ad7f5f7a10538d5ef0f465ac223fc881301279aab915c16671b24c15",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-02-11T10:26:57Z",
    "title_canon_sha256": "84558d80e0de7ae149724d74e0a575ed108646678a80263613a06c6ad15bc22d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.03247",
    "kind": "arxiv",
    "version": 1
  }
}