Pith Number

pith:TJUYGXLE

pith:2006:TJUYGXLEFEWNM2JDZ3TQPQCHX6

not attested not anchored not stored refs pending

Additivity numbers of covering properties

Boaz Tsaban

arxiv:math/0604451 v5 · 2006-04-20 · math.GN · math.CO · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TJUYGXLEFEWNM2JDZ3TQPQCHX6}

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	2026-05-18T04:37:23.119128Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a69835d64292cd66923cee707c047bf992f504499086a179481bd3947d88462

Aliases

arxiv: math/0604451 · arxiv_version: math/0604451v5 · doi: 10.48550/arxiv.math/0604451 · pith_short_12: TJUYGXLEFEWN · pith_short_16: TJUYGXLEFEWNM2JD · pith_short_8: TJUYGXLE

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/TJUYGXLEFEWNM2JDZ3TQPQCHX6 \
  | 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: 9a69835d64292cd66923cee707c047bf992f504499086a179481bd3947d88462

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "859754c60fa8ffa4a30f86430486fc44796b64e1e193ab40d492259d39cc2eff",
    "cross_cats_sorted": [
      "math.CO",
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2006-04-20T14:13:00Z",
    "title_canon_sha256": "777669762156f19745eabce870c7087ad1455839b7a4844e397e4d878dfa6717"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0604451",
    "kind": "arxiv",
    "version": 5
  }
}