Pith Number

pith:QZRJGMYR

pith:2018:QZRJGMYRS3TYDUBTLDWAD6Y6OL

not attested not anchored not stored refs pending

An $A_{\infty}$-coalgebra Structure on a Closed Compact Surface

Quinn Minnich, Ronald Umble

arxiv:1801.08071 v5 · 2018-01-24 · 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{QZRJGMYRS3TYDUBTLDWAD6Y6OL}

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	2026-05-18T00:09:36.088918Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

866293331196e781d03358ec01fb1e72fe675247258684e500e36df464a8c6f9

Aliases

arxiv: 1801.08071 · arxiv_version: 1801.08071v5 · doi: 10.48550/arxiv.1801.08071 · pith_short_12: QZRJGMYRS3TY · pith_short_16: QZRJGMYRS3TYDUBT · pith_short_8: QZRJGMYR

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/QZRJGMYRS3TYDUBTLDWAD6Y6OL \
  | 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: 866293331196e781d03358ec01fb1e72fe675247258684e500e36df464a8c6f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6eb245f37d1cc08196b54c95e13395a441cccc01599a15b99e8b5282f487a5f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2018-01-24T16:53:18Z",
    "title_canon_sha256": "1e8097d0ed54e605b87480d6bc65bd3174229f2fef13d85d7786c017e2e9d7c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.08071",
    "kind": "arxiv",
    "version": 5
  }
}