Pith Number

pith:LPMDZV3N

pith:2011:LPMDZV3NJIOXKE4HXXGAPQITBQ

not attested not anchored not stored refs pending

A new lower bound based on Gromov's method of selecting heavily covered points

Daniel Kral, Jean-Sebastien Sereni, Lukas Mach

arxiv:1108.0297 v2 · 2011-08-01 · 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{LPMDZV3NJIOXKE4HXXGAPQITBQ}

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	2026-05-18T03:59:38.158983Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5bd83cd76d4a1d751387bdcc07c1130c2ee9a2fe9aa8ba559013e9cc7d62f5a6

Aliases

arxiv: 1108.0297 · arxiv_version: 1108.0297v2 · doi: 10.48550/arxiv.1108.0297 · pith_short_12: LPMDZV3NJIOX · pith_short_16: LPMDZV3NJIOXKE4H · pith_short_8: LPMDZV3N

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/LPMDZV3NJIOXKE4HXXGAPQITBQ \
  | 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: 5bd83cd76d4a1d751387bdcc07c1130c2ee9a2fe9aa8ba559013e9cc7d62f5a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3376228243aec6c14abda50c59e4b76e1f9540c2b4a9509b24399bc88138dc86",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-08-01T12:36:30Z",
    "title_canon_sha256": "20c4d3e1d465221c0209ddb2490adba9154bd2ddc59700c8a6d1e69a21bf487a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.0297",
    "kind": "arxiv",
    "version": 2
  }
}