Pith Number

pith:4TDOOYPN

pith:2018:4TDOOYPNLSTCZBQCGG45B7TVWN

not attested not anchored not stored refs pending

Topology of tensor ranks

Ke Ye, Lek-Heng Lim, Pierre Comon, Yang Qi

arxiv:1804.08060 v1 · 2018-04-22 · math.AG · math.AT · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4TDOOYPNLSTCZBQCGG45B7TVWN}

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	2026-05-18T00:17:49.664050Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4c6e761ed5ca62c860231b9d0fe75b37c322f9cb73cedabd3b8896d21ffd5e4

Aliases

arxiv: 1804.08060 · arxiv_version: 1804.08060v1 · doi: 10.48550/arxiv.1804.08060 · pith_short_12: 4TDOOYPNLSTC · pith_short_16: 4TDOOYPNLSTCZBQC · pith_short_8: 4TDOOYPN

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/4TDOOYPNLSTCZBQCGG45B7TVWN \
  | 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: e4c6e761ed5ca62c860231b9d0fe75b37c322f9cb73cedabd3b8896d21ffd5e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee13bba77fd9d2b310666c6ee2245a67ca1469193560cb08a5edf53117257b6c",
    "cross_cats_sorted": [
      "math.AT",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-04-22T02:45:34Z",
    "title_canon_sha256": "81748e0ff0e6fc6031af2948ba187310b9d6604eaa79d8529e6f4291532de122"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.08060",
    "kind": "arxiv",
    "version": 1
  }
}