Pith Number

pith:GGP477CC

pith:2018:GGP477CCFV64YCVBCYTOQAKAIT

not attested not anchored not stored refs pending

Low analytic rank implies low partition rank for tensors

Oliver Janzer

arxiv:1809.10931 v1 · 2018-09-28 · math.CO · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GGP477CCFV64YCVBCYTOQAKAIT}

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	2026-05-18T00:04:34.575250Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

319fcffc422d7dcc0aa11626e8014044d045ad2a6a31dc0f44bd1254588dc08e

Aliases

arxiv: 1809.10931 · arxiv_version: 1809.10931v1 · doi: 10.48550/arxiv.1809.10931 · pith_short_12: GGP477CCFV64 · pith_short_16: GGP477CCFV64YCVB · pith_short_8: GGP477CC

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/GGP477CCFV64YCVBCYTOQAKAIT \
  | 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: 319fcffc422d7dcc0aa11626e8014044d045ad2a6a31dc0f44bd1254588dc08e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21d60336cb0305032cefe92f6fc4110fe301857165f1cd5b982c0a6cc6388781",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-09-28T09:27:41Z",
    "title_canon_sha256": "eb38779bdb30b62195ecad579244751e194b32f23903f0909a746e0a2162e622"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.10931",
    "kind": "arxiv",
    "version": 1
  }
}