Pith Number

pith:UGN56N6S

pith:2026:UGN56N6SVZSED6FNLLIQ6RSSZK

not attested not anchored not stored refs pending

Kronecker Products of Symmetric Persistent Tensors

Masoud Gharahi

arxiv:2608.11182 v1 · 2026-08-11 · math.AG · math-ph · math.AC · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UGN56N6SVZSED6FNLLIQ6RSSZK}

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	2026-08-12T01:24:46.035326Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a19bdf37d2ae6441f8ad5ad10f4652cabfd3a65e91b25d8fe7bace55b8b6546d

Aliases

arxiv: 2608.11182 · arxiv_version: 2608.11182v1 · doi: 10.48550/arxiv.2608.11182 · pith_short_12: UGN56N6SVZSE · pith_short_16: UGN56N6SVZSED6FN · pith_short_8: UGN56N6S

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/UGN56N6SVZSED6FNLLIQ6RSSZK \
  | 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: a19bdf37d2ae6441f8ad5ad10f4652cabfd3a65e91b25d8fe7bace55b8b6546d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ed803e09543acfece77ac9a9599e1ffe7919a2c9e8f44e84bf3416e144ccb44",
    "cross_cats_sorted": [
      "math-ph",
      "math.AC",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-08-11T17:43:00Z",
    "title_canon_sha256": "cfc52cdd8f4771ef23968c1da21dc276672111145b982de0a8e3af4be3105b4c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.11182",
    "kind": "arxiv",
    "version": 1
  }
}