Pith Number

pith:3ZGHEICG

pith:2014:3ZGHEICGGUYAO5SRNI3BFKM5YP

not attested not anchored not stored refs pending

Higher homotopy excision and Blakers-Massey theorems for structured ring spectra

John E. Harper, Michael Ching

arxiv:1402.4775 v2 · 2014-02-19 · 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{3ZGHEICGGUYAO5SRNI3BFKM5YP}

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	2026-05-18T01:15:36.549904Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de4c72204635300776516a3612a99dc3d3197c06c8ece91857285f57437959a3

Aliases

arxiv: 1402.4775 · arxiv_version: 1402.4775v2 · doi: 10.48550/arxiv.1402.4775 · pith_short_12: 3ZGHEICGGUYA · pith_short_16: 3ZGHEICGGUYAO5SR · pith_short_8: 3ZGHEICG

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/3ZGHEICGGUYAO5SRNI3BFKM5YP \
  | 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: de4c72204635300776516a3612a99dc3d3197c06c8ece91857285f57437959a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14dfb6998ff0967f4ef432e10ddfc388ad3262dc584b3a4d6d47539627f5844d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2014-02-19T19:20:44Z",
    "title_canon_sha256": "18c75060855c7b7bdde019c317bef3238db6a7e4d6a0d50d40c36015ef9027aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.4775",
    "kind": "arxiv",
    "version": 2
  }
}