Pith Number

pith:XBSX72CF

pith:2015:XBSX72CFX77KFMBAEVFTEJDLJD

not attested not anchored not stored refs pending

D-structures and derived Koszul duality for unital operad algebras

Igor Kriz, Po Hu, Tyler Foster

arxiv:1507.07151 v1 · 2015-07-25 · 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{XBSX72CFX77KFMBAEVFTEJDLJD}

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	2026-05-18T01:36:17.089560Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8657fe845bffea2b020254b32246b48f63317b658150e47289c8a1717c3496d

Aliases

arxiv: 1507.07151 · arxiv_version: 1507.07151v1 · doi: 10.48550/arxiv.1507.07151 · pith_short_12: XBSX72CFX77K · pith_short_16: XBSX72CFX77KFMBA · pith_short_8: XBSX72CF

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/XBSX72CFX77KFMBAEVFTEJDLJD \
  | 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: b8657fe845bffea2b020254b32246b48f63317b658150e47289c8a1717c3496d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "614a05b2ded92a3679626c6edb306f13f368a7f8dfb334488c54e13b3b460196",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2015-07-25T23:33:50Z",
    "title_canon_sha256": "05a72dc5608f1509bd5ae3be37417ecf73be5968a23fcca415bc3b76ccac3127"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.07151",
    "kind": "arxiv",
    "version": 1
  }
}