Pith Number

pith:54FEGCCK

pith:2017:54FEGCCKBBYG73WI5HIWYBMGMJ

not attested not anchored not stored refs pending

Lusternik-Schnirelmann category of the configuration space of complex projective space

Cesar A. Ipanaque Zapata

arxiv:1708.05830 v4 · 2017-08-19 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{54FEGCCKBBYG73WI5HIWYBMGMJ}

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	2026-05-17T23:55:29.876800Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef0a43084a08706feec8e9d16c0586624548f7012d2bc37d4ebd7ace150225bf

Aliases

arxiv: 1708.05830 · arxiv_version: 1708.05830v4 · doi: 10.48550/arxiv.1708.05830 · pith_short_12: 54FEGCCKBBYG · pith_short_16: 54FEGCCKBBYG73WI · pith_short_8: 54FEGCCK

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/54FEGCCKBBYG73WI5HIWYBMGMJ \
  | 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: ef0a43084a08706feec8e9d16c0586624548f7012d2bc37d4ebd7ace150225bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76660a2dd5359a7e0802f2338ce1d214da54ae03e46f8ecf79fbc57e5c16e54d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2017-08-19T10:58:21Z",
    "title_canon_sha256": "9222196ba5a9d6bed01cd2f85f0e5c9dddbe0f812b43162a4130e40beec5a9ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.05830",
    "kind": "arxiv",
    "version": 4
  }
}