Pith Number

pith:BOGRHZQ5

pith:2019:BOGRHZQ5OUQZKFGBV4VWWAZ24T

not attested not anchored not stored refs pending

Lefschetz Complexes as Finite Topological Spaces

Jacek Kubica, Marian Mrozek

arxiv:1903.05934 v1 · 2019-03-14 · 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{BOGRHZQ5OUQZKFGBV4VWWAZ24T}

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	2026-05-17T23:51:15.767266Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b8d13e61d75219514c1af2b6b033ae4cbb8d9d77e3d3613d6c874b6b31e50f0

Aliases

arxiv: 1903.05934 · arxiv_version: 1903.05934v1 · doi: 10.48550/arxiv.1903.05934 · pith_short_12: BOGRHZQ5OUQZ · pith_short_16: BOGRHZQ5OUQZKFGB · pith_short_8: BOGRHZQ5

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/BOGRHZQ5OUQZKFGBV4VWWAZ24T \
  | 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: 0b8d13e61d75219514c1af2b6b033ae4cbb8d9d77e3d3613d6c874b6b31e50f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c000b98e8ee0a88ea718a29183bc5c22c7911c03d492227d6c691a58f7a3bff9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2019-03-14T12:11:00Z",
    "title_canon_sha256": "2da9bc6509eb7d00d268555fde9045f3e3f59d14ff1ba14a3fc088542fe8a263"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.05934",
    "kind": "arxiv",
    "version": 1
  }
}