Pith Number

pith:JLPVBCBS

pith:2011:JLPVBCBS5JNMEOWKV4KSX5FMHY

not attested not anchored not stored refs pending

Covering of Subspaces by Subspaces

Tuvi Etzion

arxiv:1111.4319 v4 · 2011-11-18 · 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{JLPVBCBS5JNMEOWKV4KSX5FMHY}

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	2026-05-18T03:43:29.655843Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4adf508832ea5ac23acaaf152bf4ac3e06f492cf2a44948c94750e9a2d30232a

Aliases

arxiv: 1111.4319 · arxiv_version: 1111.4319v4 · doi: 10.48550/arxiv.1111.4319 · pith_short_12: JLPVBCBS5JNM · pith_short_16: JLPVBCBS5JNMEOWK · pith_short_8: JLPVBCBS

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/JLPVBCBS5JNMEOWKV4KSX5FMHY \
  | 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: 4adf508832ea5ac23acaaf152bf4ac3e06f492cf2a44948c94750e9a2d30232a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae390e82f47918b40f3277678a986932ddcd2951af5d00abd91c1ce7d814e114",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-11-18T10:21:08Z",
    "title_canon_sha256": "4c7ed98b450debc898eb59b5c4a144df3f047fce23656f9192bce0a42f71b225"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.4319",
    "kind": "arxiv",
    "version": 4
  }
}