pith. sign in
Pith Number

pith:O5TXBN5L

pith:2019:O5TXBN5L5IMN2JXIJH7FJGOZNS
not attested not anchored not stored refs pending

A simplicial complex spliting associativity

Daniel L\'opez, Louis-Fran\c{c}ois Pr\'eville-Ratelle, Mar\'i a Ronco

arxiv:1906.02834 v1 · 2019-06-06 · math.RA · math.CO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{O5TXBN5L5IMN2JXIJH7FJGOZNS}

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 2026-05-17T23:43:57.375331Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

776770b7abea18dd26e849fe5499d96c97892704f0c4bf957eafb83fc0a6a2a0

Aliases

arxiv: 1906.02834 · arxiv_version: 1906.02834v1 · doi: 10.48550/arxiv.1906.02834 · pith_short_12: O5TXBN5L5IMN · pith_short_16: O5TXBN5L5IMN2JXI · pith_short_8: O5TXBN5L
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/O5TXBN5L5IMN2JXIJH7FJGOZNS \
  | 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: 776770b7abea18dd26e849fe5499d96c97892704f0c4bf957eafb83fc0a6a2a0
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "b266c8d6f6b1dc64068c03673495443ca9caa089e3dcefb5db89ebebd897c41a",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2019-06-06T22:12:03Z",
    "title_canon_sha256": "2241733a2730ce015db3d1add7c2d28b17401f96e1b304f488e31f414038901c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.02834",
    "kind": "arxiv",
    "version": 1
  }
}