Pith Number

pith:GLJKDU4A

pith:2024:GLJKDU4A5ANSDUIQMIH2IIUZOP

not attested not anchored not stored refs pending

Koszul duality and a conjecture of Francis-Gaitsgory

Gijs Heuts

arxiv:2408.06173 v1 · 2024-08-12 · math.AT · math.KT · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GLJKDU4A5ANSDUIQMIH2IIUZOP}

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.

Cited by

5 papers in Pith

Enriched $\infty$-operads as marked algebras

The Goncharov Lie coalgebra of a field

A characterization of the spectral Lie operad

Point-set models for homotopy coherent coalgebras

On periodic homotopy and homology equivalences of spaces

Receipt and verification

First computed	2026-07-05T08:54:30.514754Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32d2a1d380e81b21d110620fa4229973ecfe6c32db3f10ccf70767e09398da93

Aliases

arxiv: 2408.06173 · arxiv_version: 2408.06173v1 · doi: 10.48550/arxiv.2408.06173 · pith_short_12: GLJKDU4A5ANS · pith_short_16: GLJKDU4A5ANSDUIQ · pith_short_8: GLJKDU4A

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/GLJKDU4A5ANSDUIQMIH2IIUZOP \
  | 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: 32d2a1d380e81b21d110620fa4229973ecfe6c32db3f10ccf70767e09398da93

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "169217c65f74d148e6264749c67fa982ccca85fd31b898832a98f937b8248a06",
    "cross_cats_sorted": [
      "math.KT",
      "math.RT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2024-08-12T14:18:42Z",
    "title_canon_sha256": "c50478621d143368ec21f22a5f16756dcb06948429e830864942a3bbac0bed54"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2408.06173",
    "kind": "arxiv",
    "version": 1
  }
}