Pith Number

pith:IT36P7QL

pith:2013:IT36P7QLM3L57T4O6P4KSKVQVX

not attested not anchored not stored refs pending

Natural operations on the Hochschild complex of commutative Frobenius algebras via the complex of looped diagrams

Angela Klamt

arxiv:1309.4997 v1 · 2013-09-19 · 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{IT36P7QLM3L57T4O6P4KSKVQVX}

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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.

Cited by

1 paper in Pith

On the invariance of the string topology coproduct

Receipt and verification

First computed	2026-05-18T03:12:49.111570Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44f7e7fe0b66d7dfcf8ef3f8a92ab0add9c9045695db1490a7507a975067e1a2

Aliases

arxiv: 1309.4997 · arxiv_version: 1309.4997v1 · doi: 10.48550/arxiv.1309.4997 · pith_short_12: IT36P7QLM3L5 · pith_short_16: IT36P7QLM3L57T4O · pith_short_8: IT36P7QL

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/IT36P7QLM3L57T4O6P4KSKVQVX \
  | 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: 44f7e7fe0b66d7dfcf8ef3f8a92ab0add9c9045695db1490a7507a975067e1a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7968c6030df6c4406ec5e340bf87676fb094c17e4405109ba3895cdb5db6bf24",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2013-09-19T14:33:08Z",
    "title_canon_sha256": "7f679f775229d7983170d171ec8d438952a0c92b255071cdb8a10c7ee091df24"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.4997",
    "kind": "arxiv",
    "version": 1
  }
}