Pith Number

pith:J3NQGTQ7

pith:2011:J3NQGTQ7OYBI6KIRX7VZNBNWC5

not attested not anchored not stored refs pending

On the tensor rank of multiplication in finite extensions of finite fields

Jean Chaumine, Julia Pieltant, Robert Rolland, St\'ephane Ballet

arxiv:1107.1184 v2 · 2011-07-06 · 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{J3NQGTQ7OYBI6KIRX7VZNBNWC5}

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	2026-05-18T04:18:32.933863Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4edb034e1f76028f2911bfeb9685b617700cbc7fd0768412866bc6723e1c896a

Aliases

arxiv: 1107.1184 · arxiv_version: 1107.1184v2 · doi: 10.48550/arxiv.1107.1184 · pith_short_12: J3NQGTQ7OYBI · pith_short_16: J3NQGTQ7OYBI6KIR · pith_short_8: J3NQGTQ7

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/J3NQGTQ7OYBI6KIRX7VZNBNWC5 \
  | 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: 4edb034e1f76028f2911bfeb9685b617700cbc7fd0768412866bc6723e1c896a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bddba448085a4cc341b7ad20546e859cfcaeb10dcd7e68eb412887fa51b07558",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-07-06T16:56:04Z",
    "title_canon_sha256": "6e73e3951d6c0daf5ef0c5618522c85f4ee7ad141df31bd45cc4a430e253eed6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.1184",
    "kind": "arxiv",
    "version": 2
  }
}