Pith Number

pith:EFFY5REY

pith:2015:EFFY5REY6I6GFYLCIWFY6PL6G7

not attested not anchored not stored refs pending

Dual pairs of quantum moment maps and doubles of Hopf algebras

Alexander Shapiro, Gus Schrader

arxiv:1510.05282 v1 · 2015-10-18 · math.QA · 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{EFFY5REY6I6GFYLCIWFY6PL6G7}

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	2026-05-18T01:29:52.698016Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

214b8ec498f23c62e162458b8f3d7e37d1dbe58d38c8f095ee8024f747be5f14

Aliases

arxiv: 1510.05282 · arxiv_version: 1510.05282v1 · doi: 10.48550/arxiv.1510.05282 · pith_short_12: EFFY5REY6I6G · pith_short_16: EFFY5REY6I6GFYLC · pith_short_8: EFFY5REY

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/EFFY5REY6I6GFYLCIWFY6PL6G7 \
  | 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: 214b8ec498f23c62e162458b8f3d7e37d1dbe58d38c8f095ee8024f747be5f14

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c292e4fbeb11cd3acb55cd5012aac689850abe026f7d21f40bfacf8d242b8331",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2015-10-18T17:20:33Z",
    "title_canon_sha256": "ceb7e24a56437075e35edeeae30aea8885300c1c2284cb79c17fbeb0233a169d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.05282",
    "kind": "arxiv",
    "version": 1
  }
}