Pith Number

pith:NUXW7ANW

pith:2013:NUXW7ANW6IA74BUT5QBM5ZGCTY

not attested not anchored not stored refs pending

Shimura modular curves and asymptotic symmetric tensor rank of multiplication in any finite field

Jean Chaumine, Julia Pieltant, St\'ephane Ballet

arxiv:1304.0043 v2 · 2013-03-29 · 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{NUXW7ANW6IA74BUT5QBM5ZGCTY}

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	2026-05-18T01:23:39.180075Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6d2f6f81b6f201fe0693ec02cee4c29e309f08e7541829704faa2c92bea9d794

Aliases

arxiv: 1304.0043 · arxiv_version: 1304.0043v2 · doi: 10.48550/arxiv.1304.0043 · pith_short_12: NUXW7ANW6IA7 · pith_short_16: NUXW7ANW6IA74BUT · pith_short_8: NUXW7ANW

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/NUXW7ANW6IA74BUT5QBM5ZGCTY \
  | 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: 6d2f6f81b6f201fe0693ec02cee4c29e309f08e7541829704faa2c92bea9d794

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ce75098f052eab909b56f00f730983d0c4f18248ff8a307d2076972537b8f94",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-03-29T23:18:06Z",
    "title_canon_sha256": "42bcc6e756e0dc35711378fcfb3522bea3cb1a280312defe43baa5a2a85f63c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.0043",
    "kind": "arxiv",
    "version": 2
  }
}