Pith Number

pith:F4XHRFEM

pith:2013:F4XHRFEMBKVIZXEKL7ASTVM7DO

not attested not anchored not stored refs pending

On the typical rank of real polynomials (or symmetric tensors) with a fixed border rank

Edoardo Ballico

arxiv:1307.2490 v1 · 2013-07-09 · 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{F4XHRFEMBKVIZXEKL7ASTVM7DO}

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	2026-05-18T03:18:52.365578Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f2e78948c0aaa8cdc8a5fc129d59f1b8a612acdf0ff63e37ea8c2c446a5987b

Aliases

arxiv: 1307.2490 · arxiv_version: 1307.2490v1 · doi: 10.48550/arxiv.1307.2490 · pith_short_12: F4XHRFEMBKVI · pith_short_16: F4XHRFEMBKVIZXEK · pith_short_8: F4XHRFEM

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/F4XHRFEMBKVIZXEKL7ASTVM7DO \
  | 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: 2f2e78948c0aaa8cdc8a5fc129d59f1b8a612acdf0ff63e37ea8c2c446a5987b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a539afc39825753ddb8eca5a1242f11900be0fe0ec91919c85d4ebf35d885ee",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-07-09T15:21:14Z",
    "title_canon_sha256": "61a3c69838ce11343033de6ef25c77619fff8d71b68e94fb121e33b526bd69cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.2490",
    "kind": "arxiv",
    "version": 1
  }
}