Pith Number

pith:DRNSWQX7

pith:2013:DRNSWQX77AE2VCXAJUFOG5B7GM

not attested not anchored not stored refs pending

Modular operads and the quantum open-closed homotopy algebra

Branislav Jurco, Korbinian Muenster, Martin Doubek

arxiv:1308.3223 v2 · 2013-08-14 · math.AT · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DRNSWQX77AE2VCXAJUFOG5B7GM}

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	2026-05-18T01:31:20.016105Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1c5b2b42fff809aa8ae04d0ae3743f330c0c9acebfe0863d0d3de0cdf71b9d2c

Aliases

arxiv: 1308.3223 · arxiv_version: 1308.3223v2 · doi: 10.48550/arxiv.1308.3223 · pith_short_12: DRNSWQX77AE2 · pith_short_16: DRNSWQX77AE2VCXA · pith_short_8: DRNSWQX7

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/DRNSWQX77AE2VCXAJUFOG5B7GM \
  | 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: 1c5b2b42fff809aa8ae04d0ae3743f330c0c9acebfe0863d0d3de0cdf71b9d2c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2bf18ec7fd422ba949b2ea511e800637e93f93aabf2232d3b19bc3e8d818dd9b",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2013-08-14T19:52:38Z",
    "title_canon_sha256": "92409596dba82227da278f6f3dc6a36bfa20fb273d2bdf793f2dd5202cdfb6e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.3223",
    "kind": "arxiv",
    "version": 2
  }
}