Pith Number

pith:ZWKXAAFQ

pith:2015:ZWKXAAFQVFED23UECBORN36COC

not attested not anchored not stored refs pending

Hopf coactions on commutative algebras generated by a quadratically independent comodule

Arnab Mandal, Chelsea Walton, Debashish Goswami, Pavel Etingof

arxiv:1507.08486 v2 · 2015-07-30 · 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{ZWKXAAFQVFED23UECBORN36COC}

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	2026-05-18T01:19:40.736423Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd957000b0a9483d6e84105d16efc2709b7c10ffb6e0e1f39a5ee33d68af01cd

Aliases

arxiv: 1507.08486 · arxiv_version: 1507.08486v2 · doi: 10.48550/arxiv.1507.08486 · pith_short_12: ZWKXAAFQVFED · pith_short_16: ZWKXAAFQVFED23UE · pith_short_8: ZWKXAAFQ

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/ZWKXAAFQVFED23UECBORN36COC \
  | 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: cd957000b0a9483d6e84105d16efc2709b7c10ffb6e0e1f39a5ee33d68af01cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94fa1b58a25c41a953ed047a779852f4db69091f4837152cc6006eaa24f4d017",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2015-07-30T13:09:12Z",
    "title_canon_sha256": "8f9d74daba02578082a0fdb172167bbd9d453f9c9fd4f1f153648c59fe3d1e97"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.08486",
    "kind": "arxiv",
    "version": 2
  }
}