Pith Number

pith:SPAREP76

pith:2023:SPAREP76UWNINEGBZ7L2MUTIE4

not attested not anchored not stored refs pending

Relations among higher Whitehead maps

George Simmons, Jelena Grbic, Matthew Staniforth

arxiv:2306.05230 v3 · 2023-06-08 · 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{SPAREP76UWNINEGBZ7L2MUTIE4}

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.

Cited by

2 papers in Pith

Iterated Whitehead products in the homotopy groups of polyhedral products

Power set operads

Receipt and verification

First computed	2026-06-30T01:17:18.589552Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93c1123ffea59a8690c1cfd7a65268273ee5f65ccb3cd94318664f7360cc2ec4

Aliases

arxiv: 2306.05230 · arxiv_version: 2306.05230v3 · doi: 10.48550/arxiv.2306.05230 · pith_short_12: SPAREP76UWNI · pith_short_16: SPAREP76UWNINEGB · pith_short_8: SPAREP76

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/SPAREP76UWNINEGBZ7L2MUTIE4 \
  | 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: 93c1123ffea59a8690c1cfd7a65268273ee5f65ccb3cd94318664f7360cc2ec4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff5532115f93c71961333151bf2803ff6a52f105a58efed19ac9c42906f4d9c0",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2023-06-08T14:27:18Z",
    "title_canon_sha256": "e8c4d9b60288bcd1f5827a07aca463d2ddc1327cb8752edb179fad6c836c0935"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2306.05230",
    "kind": "arxiv",
    "version": 3
  }
}