Pith Number

pith:GDBVY7CE

pith:2015:GDBVY7CEHJK7BH4FCWJCJLUK45

not attested not anchored not stored refs pending

Lusternik-Schnirelmann category of simplicial complexes and finite spaces

D. Fern\'andez-Ternero, E. Mac\'ias-Virg\'os, J.A. Vilches

arxiv:1501.07540 v2 · 2015-01-29 · 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{GDBVY7CEHJK7BH4FCWJCJLUK45}

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	2026-05-18T02:25:33.708186Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30c35c7c443a55f09f85159224ae8ae765f6d701df31da2e879028b1b836ede4

Aliases

arxiv: 1501.07540 · arxiv_version: 1501.07540v2 · doi: 10.48550/arxiv.1501.07540 · pith_short_12: GDBVY7CEHJK7 · pith_short_16: GDBVY7CEHJK7BH4F · pith_short_8: GDBVY7CE

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/GDBVY7CEHJK7BH4FCWJCJLUK45 \
  | 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: 30c35c7c443a55f09f85159224ae8ae765f6d701df31da2e879028b1b836ede4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b541f8fdfbc1df2b94d82b30e3da9e6240408953e470f200bcd257f93260d62",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2015-01-29T18:39:30Z",
    "title_canon_sha256": "d3768a90590699cd021959c7d02e16351b907c1f6aebd30bbddc81e23a9a6ed9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.07540",
    "kind": "arxiv",
    "version": 2
  }
}