Pith Number

pith:NJCCTQOU

pith:2013:NJCCTQOUMG5LRMQU23DZ72UOB7

not attested not anchored not stored refs pending

$A_\infty$-actions and Recognition of Relative Loop Spaces

Eduardo Hoefel, Jim Stasheff, Muriel Livernet

arxiv:1312.7155 v1 · 2013-12-26 · math.AT · math.QA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NJCCTQOUMG5LRMQU23DZ72UOB7}

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	2026-05-18T03:03:45.652948Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a4429c1d461bab8b214d6c79fea8e0fee7240ef964a832f7611a24c997ccecc

Aliases

arxiv: 1312.7155 · arxiv_version: 1312.7155v1 · doi: 10.48550/arxiv.1312.7155 · pith_short_12: NJCCTQOUMG5L · pith_short_16: NJCCTQOUMG5LRMQU · pith_short_8: NJCCTQOU

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/NJCCTQOUMG5LRMQU23DZ72UOB7 \
  | 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: 6a4429c1d461bab8b214d6c79fea8e0fee7240ef964a832f7611a24c997ccecc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8dcf919fa2b96af209967262bea57d2df3c01b79a613da26ffeb8da4ae285ca",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2013-12-26T22:06:55Z",
    "title_canon_sha256": "5343212e9412523c889947e3bb82996c0bb4703659eb16081fedda071ea917b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.7155",
    "kind": "arxiv",
    "version": 1
  }
}