Pith Number

pith:LC6Q4OFP

pith:2012:LC6Q4OFPRPZ6RANVCUG7JKG6U7

not attested not anchored not stored refs pending

Involutive A-infinity algebras and dihedral cohomology

Christopher Braun

arxiv:1209.1261 v4 · 2012-09-06 · math.QA · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LC6Q4OFPRPZ6RANVCUG7JKG6U7}

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	2026-05-18T02:42:54.246271Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

58bd0e38af8bf3e881b5150df4a8dea7dc563c47db9f6a07523249016edb36b7

Aliases

arxiv: 1209.1261 · arxiv_version: 1209.1261v4 · doi: 10.48550/arxiv.1209.1261 · pith_short_12: LC6Q4OFPRPZ6 · pith_short_16: LC6Q4OFPRPZ6RANV · pith_short_8: LC6Q4OFP

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/LC6Q4OFPRPZ6RANVCUG7JKG6U7 \
  | 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: 58bd0e38af8bf3e881b5150df4a8dea7dc563c47db9f6a07523249016edb36b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e60abfa041e7a9b364614d85855bc70621f70207f7524100f4f79372e6dd07bb",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2012-09-06T11:47:52Z",
    "title_canon_sha256": "d912df76fa8770c9332d8d0a5020322955a7bceb582eca7503e49af6164d3ebf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.1261",
    "kind": "arxiv",
    "version": 4
  }
}