Pith Number

pith:TFPEOXXY

pith:2014:TFPEOXXYBRAJGNF2IEMCB4ZGLT

not attested not anchored not stored refs pending

Counting joints in vector spaces over arbitrary fields

Anthony Carbery, Marina Iliopoulou

arxiv:1403.6438 v2 · 2014-03-25 · 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{TFPEOXXYBRAJGNF2IEMCB4ZGLT}

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	2026-05-18T02:50:51.493828Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

995e475ef80c409334ba411820f3265cfc79ac578e3d9997889f039a37956817

Aliases

arxiv: 1403.6438 · arxiv_version: 1403.6438v2 · doi: 10.48550/arxiv.1403.6438 · pith_short_12: TFPEOXXYBRAJ · pith_short_16: TFPEOXXYBRAJGNF2 · pith_short_8: TFPEOXXY

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/TFPEOXXYBRAJGNF2IEMCB4ZGLT \
  | 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: 995e475ef80c409334ba411820f3265cfc79ac578e3d9997889f039a37956817

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e05afc4d2e256a9c4b51e3ecf1df033a2311f48a96126a39fc5ff01aadb5429e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-03-25T18:08:18Z",
    "title_canon_sha256": "72df889d90a50b4c28958d715462ae6d4d3833706baa291b6ab76d4f7723c306"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.6438",
    "kind": "arxiv",
    "version": 2
  }
}