Pith Number

pith:4NECLZLR

pith:2022:4NECLZLRWEAG6UTEX6WT574ROH

not attested not anchored not stored refs pending

On flag spheres with few equators

Lorenzo Venturello

arxiv:2203.10003 v1 · 2022-03-18 · 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{4NECLZLRWEAG6UTEX6WT574ROH}

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

Lower bounds on the $g$-numbers of spheres without large missing faces

Receipt and verification

First computed	2026-07-05T04:06:26.681020Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e34825e571b1006f5264bfad3eff9171ffdc259bbfd0a3d3f3f36ed9d41ec886

Aliases

arxiv: 2203.10003 · arxiv_version: 2203.10003v1 · doi: 10.48550/arxiv.2203.10003 · pith_short_12: 4NECLZLRWEAG · pith_short_16: 4NECLZLRWEAG6UTE · pith_short_8: 4NECLZLR

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/4NECLZLRWEAG6UTEX6WT574ROH \
  | 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: e34825e571b1006f5264bfad3eff9171ffdc259bbfd0a3d3f3f36ed9d41ec886

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cdf36a0eac80a209911db75840ad4cfd6f0ff4305f59f082ae700bffaa387361",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-03-18T15:04:10Z",
    "title_canon_sha256": "704aabedcbd52a70fc84ce944390de283928380a9bd4aa3775bcc35af36f6001"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2203.10003",
    "kind": "arxiv",
    "version": 1
  }
}