Pith Number

pith:HDWMSDHH

pith:2013:HDWMSDHHKMXKI4JCWJNRSR6FAM

not attested not anchored not stored refs pending

Rectification of Weak Product Algebras over an Operad in Cat and Top and Applications

Manfred Stelzer, Rainer M. Vogt, Zbigniew Fiedorowicz

arxiv:1311.2817 v4 · 2013-11-12 · 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{HDWMSDHHKMXKI4JCWJNRSR6FAM}

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	2026-05-18T01:15:47.309775Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

38ecc90ce7532ea47122b25b1947c5032c7970ece9ca8d68a9421cdd4ff1e0a0

Aliases

arxiv: 1311.2817 · arxiv_version: 1311.2817v4 · doi: 10.48550/arxiv.1311.2817 · pith_short_12: HDWMSDHHKMXK · pith_short_16: HDWMSDHHKMXKI4JC · pith_short_8: HDWMSDHH

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/HDWMSDHHKMXKI4JCWJNRSR6FAM \
  | 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: 38ecc90ce7532ea47122b25b1947c5032c7970ece9ca8d68a9421cdd4ff1e0a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ebb07d865e65ae67bbf2faecf9ae4154375ef13f7dcaca54da8e6fdc7cf5a308",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2013-11-12T15:46:20Z",
    "title_canon_sha256": "725a519e605513fdfc466a16c6ab343754b29d6e969cb06a14c9cd2767916708"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.2817",
    "kind": "arxiv",
    "version": 4
  }
}