Pith Number

pith:FTJSUS3S

pith:2013:FTJSUS3SDC6VA2TWLKXEF56KUN

not attested not anchored not stored refs pending

On the second nilpotent quotient of higher homotopy groups, for hypersolvable arrangements

Daniela Anca Macinic, Daniel Matei, Stefan Papadima

arxiv:1302.5822 v2 · 2013-02-23 · math.AT · 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{FTJSUS3SDC6VA2TWLKXEF56KUN}

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	2026-05-18T00:50:12.664020Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2cd32a4b7218bd506a765aae42f7caa35421801c1e8518731f56c7ca88a6fca2

Aliases

arxiv: 1302.5822 · arxiv_version: 1302.5822v2 · doi: 10.48550/arxiv.1302.5822 · pith_short_12: FTJSUS3SDC6V · pith_short_16: FTJSUS3SDC6VA2TW · pith_short_8: FTJSUS3S

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/FTJSUS3SDC6VA2TWLKXEF56KUN \
  | 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: 2cd32a4b7218bd506a765aae42f7caa35421801c1e8518731f56c7ca88a6fca2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f7e3335ecfd2721673712f7cc7063bc3af6c60b5646b9b69b3bad2b780dedfc",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2013-02-23T16:18:51Z",
    "title_canon_sha256": "16190dcd637ad4d6d29e1a70c1a92457fb0793d10d217acc6cd23dec868ddafb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.5822",
    "kind": "arxiv",
    "version": 2
  }
}