Pith Number

pith:ILGSCFUU

pith:2023:ILGSCFUUNCVHHUROO57RYS2E5F

not attested not anchored not stored refs pending

Controlling structures, deformations and homotopy theory for averaging algebras

Apurba Das

arxiv:2303.17798 v1 · 2023-03-31 · math.RA · 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{ILGSCFUUNCVHHUROO57RYS2E5F}

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

1 paper in Pith

Averaging antisymmetric infinitesimal bialgebra and perm bialgebras

Receipt and verification

First computed	2026-07-05T05:56:45.910169Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42cd21169468aa73d22e777f1c4b44e94b80b346004486289c949116f27b1d91

Aliases

arxiv: 2303.17798 · arxiv_version: 2303.17798v1 · doi: 10.48550/arxiv.2303.17798 · pith_short_12: ILGSCFUUNCVH · pith_short_16: ILGSCFUUNCVHHURO · pith_short_8: ILGSCFUU

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/ILGSCFUUNCVHHUROO57RYS2E5F \
  | 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: 42cd21169468aa73d22e777f1c4b44e94b80b346004486289c949116f27b1d91

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8348a51f644eb5c424628b68bc335735b7bdddf5ae86bb3bc94bdd0ed1674bc",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2023-03-31T05:11:54Z",
    "title_canon_sha256": "b2916d05102e4b51ccb20df0ea60b7ab0d6581d8d3ce75dc295a129fe588f202"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2303.17798",
    "kind": "arxiv",
    "version": 1
  }
}