Pith Number

pith:IXRYQCGE

pith:2019:IXRYQCGEA2QPU5KUNQHSYWA3SZ

not attested not anchored not stored refs pending

Higher topological complexity of aspherical spaces

John Oprea, Michael Farber

arxiv:1902.10696 v1 · 2019-02-26 · 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{IXRYQCGEA2QPU5KUNQHSYWA3SZ}

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	2026-05-17T23:52:29.971822Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45e38808c406a0fa75546c0f2c581b9659fc8cb5038dbc5fdc8c256bd951b364

Aliases

arxiv: 1902.10696 · arxiv_version: 1902.10696v1 · doi: 10.48550/arxiv.1902.10696 · pith_short_12: IXRYQCGEA2QP · pith_short_16: IXRYQCGEA2QPU5KU · pith_short_8: IXRYQCGE

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/IXRYQCGEA2QPU5KUNQHSYWA3SZ \
  | 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: 45e38808c406a0fa75546c0f2c581b9659fc8cb5038dbc5fdc8c256bd951b364

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5aafca040d85d485fa1935b36a3413a164b7481062d3744fb2d4384e2f8eff98",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2019-02-26T20:34:39Z",
    "title_canon_sha256": "157ace696a1c9e370d328760a18b8b21ab3fc15595363bb4bed331244b9ab3db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.10696",
    "kind": "arxiv",
    "version": 1
  }
}