Pith Number

pith:WW3BKQCK

pith:2017:WW3BKQCK7YDFSONX2YHQ6UQPCF

not attested not anchored not stored refs pending

Koszul A-infinity algebras and free loop space homology

Alexander Berglund, Kaj B\"orjeson

arxiv:1711.06496 v1 · 2017-11-17 · 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{WW3BKQCK7YDFSONX2YHQ6UQPCF}

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	2026-05-18T00:30:20.950304Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5b615404afe065939b7d60f0f520f1152817a6cf9378516f932d77d16c66434

Aliases

arxiv: 1711.06496 · arxiv_version: 1711.06496v1 · doi: 10.48550/arxiv.1711.06496 · pith_short_12: WW3BKQCK7YDF · pith_short_16: WW3BKQCK7YDFSONX · pith_short_8: WW3BKQCK

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/WW3BKQCK7YDFSONX2YHQ6UQPCF \
  | 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: b5b615404afe065939b7d60f0f520f1152817a6cf9378516f932d77d16c66434

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b54913d42816805f32a5ae0b644156751c4e4aa1131ced08b3058921c2aa2e7",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2017-11-17T11:13:09Z",
    "title_canon_sha256": "2f7d759dfa2cd2f965d004e842caf8253d34b402789e5f2b4697533b85cc8669"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.06496",
    "kind": "arxiv",
    "version": 1
  }
}