Pith Number

pith:F6CMNLEP

pith:2012:F6CMNLEP3PKWUCCAYPLRJOHTNR

not attested not anchored not stored refs pending

A comparison of different notions of ranks of symmetric tensors

Alessandra Bernardi (INRIA Sophia Antipolis), Bernard Mourrain (INRIA Sophia Antipolis), J\'er\^ome Brachat (INRIA Sophia Antipolis)

arxiv:1210.8169 v2 · 2012-10-30 · 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{F6CMNLEP3PKWUCCAYPLRJOHTNR}

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	2026-05-18T03:39:52.633081Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f84c6ac8fdbd56a0840c3d714b8f36c417d77d3f8418f3adc4b7fdbac6056d5

Aliases

arxiv: 1210.8169 · arxiv_version: 1210.8169v2 · doi: 10.48550/arxiv.1210.8169 · pith_short_12: F6CMNLEP3PKW · pith_short_16: F6CMNLEP3PKWUCCA · pith_short_8: F6CMNLEP

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/F6CMNLEP3PKWUCCAYPLRJOHTNR \
  | 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: 2f84c6ac8fdbd56a0840c3d714b8f36c417d77d3f8418f3adc4b7fdbac6056d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b68549167a0d8e64e738cae82ef114433569e8579c59e4b6751e548616612075",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-10-30T21:18:26Z",
    "title_canon_sha256": "55cb1a562a5c56c69e4c1ed6a9ca681a93f5bb3c7182df4486f888ae8efafce4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.8169",
    "kind": "arxiv",
    "version": 2
  }
}