Pith Number

pith:LI3LPVC3

pith:2011:LI3LPVC3LYHROS37427CXYSNIH

not attested not anchored not stored refs pending

Higher homotopy operations and Andr\'{e}-Quillen cohomology

David Blanc (U. Haifa), James M. Turner (Calvin College), Mark W. Johnson (Penn State Altoona)

arxiv:1107.4117 v1 · 2011-07-20 · 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{LI3LPVC3LYHROS37427CXYSNIH}

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	2026-05-18T04:17:13.197371Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a36b7d45b5e0f174b7fe6be2be24d41d18b48237f79e9275ace0675a0098d9d

Aliases

arxiv: 1107.4117 · arxiv_version: 1107.4117v1 · doi: 10.48550/arxiv.1107.4117 · pith_short_12: LI3LPVC3LYHR · pith_short_16: LI3LPVC3LYHROS37 · pith_short_8: LI3LPVC3

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/LI3LPVC3LYHROS37427CXYSNIH \
  | 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: 5a36b7d45b5e0f174b7fe6be2be24d41d18b48237f79e9275ace0675a0098d9d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "acd471de09dae82389a611a1eded42f8bc002dfae4c327768a8515cfb61f1e7e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2011-07-20T20:32:08Z",
    "title_canon_sha256": "56d32d2392fed14196979d5fcb43684cd9fded74428f74fbf00ea39073812291"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.4117",
    "kind": "arxiv",
    "version": 1
  }
}