Pith Number

pith:GM6OJS5A

pith:2013:GM6OJS5AJE7VIVQGDH2VYNR7GQ

not attested not anchored not stored refs pending

New uniform and asymptotic upper bounds on the tensor rank of multiplication in extensions of finite fields

Hugues Randriam, Julia Pieltant

arxiv:1305.5166 v1 · 2013-05-22 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GM6OJS5AJE7VIVQGDH2VYNR7GQ}

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	2026-05-18T01:23:39.116081Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

333ce4cba0493f54560619f55c363f340c1328fa52f75fea40e02ce83d2ad31a

Aliases

arxiv: 1305.5166 · arxiv_version: 1305.5166v1 · doi: 10.48550/arxiv.1305.5166 · pith_short_12: GM6OJS5AJE7V · pith_short_16: GM6OJS5AJE7VIVQG · pith_short_8: GM6OJS5A

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/GM6OJS5AJE7VIVQGDH2VYNR7GQ \
  | 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: 333ce4cba0493f54560619f55c363f340c1328fa52f75fea40e02ce83d2ad31a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f467d419e1d14a28cc71572e82a327d9a8adfd27227f544443695dedaded1c84",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-05-22T15:21:29Z",
    "title_canon_sha256": "45f0f18a45265525dc739fd570cb027af4e17d1bf24ebfb97e60e588ad7c40b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.5166",
    "kind": "arxiv",
    "version": 1
  }
}