Pith Number

pith:BZVFLJD6

pith:2021:BZVFLJD6GONTPSXIF4KNCIVJNS

not attested not anchored not stored refs pending

The slice rank of a direct sum

W. T. Gowers

arxiv:2105.08394 v2 · 2021-05-18 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BZVFLJD6GONTPSXIF4KNCIVJNS}

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.

Cited by

1 paper in Pith

Two-Cut Coherence of Quintic Forms: Lifting Separations and Second-Derivative Completeness

Receipt and verification

First computed	2026-07-05T03:05:02.468527Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e6a55a47e339b37cae82f14d122a96c87994baafa2bc791fea3a5fdfd9228c9

Aliases

arxiv: 2105.08394 · arxiv_version: 2105.08394v2 · doi: 10.48550/arxiv.2105.08394 · pith_short_12: BZVFLJD6GONT · pith_short_16: BZVFLJD6GONTPSXI · pith_short_8: BZVFLJD6

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/BZVFLJD6GONTPSXIF4KNCIVJNS \
  | 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: 0e6a55a47e339b37cae82f14d122a96c87994baafa2bc791fea3a5fdfd9228c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54d5c516fda6088a3efc25546def45ad3b8dc865b19a4c183134ef593883f08e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2021-05-18T09:46:31Z",
    "title_canon_sha256": "60e106a5b744a772c7d257efd26e46696c5fc2c2e584a93d0c600630e98a1a96"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2105.08394",
    "kind": "arxiv",
    "version": 2
  }
}