Pith Number

pith:G6DGGQBQ

pith:2012:G6DGGQBQQIZSNOUAD3F3EKQDH3

not attested not anchored not stored refs pending

Lie bialgebra structures on the deformative Schr\"{o}dinger-Virasoro algebras

Huanxia Fa

arxiv:1212.6368 v1 · 2012-12-27 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G6DGGQBQQIZSNOUAD3F3EKQDH3}

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	2026-05-18T03:37:39.931842Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3786634030823326ba801ecbb22a033ed3d4cdd0b524a614a1d67ad21495cb3a

Aliases

arxiv: 1212.6368 · arxiv_version: 1212.6368v1 · doi: 10.48550/arxiv.1212.6368 · pith_short_12: G6DGGQBQQIZS · pith_short_16: G6DGGQBQQIZSNOUA · pith_short_8: G6DGGQBQ

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/G6DGGQBQQIZSNOUAD3F3EKQDH3 \
  | 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: 3786634030823326ba801ecbb22a033ed3d4cdd0b524a614a1d67ad21495cb3a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "809a2b6321132f5ad7d993499e54b40427eac101074190d0baaadc432bc0932c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2012-12-27T13:35:14Z",
    "title_canon_sha256": "95ac60f3104413c4012e82b7b47f2ed8fe50948f9bb8a7fc668961fca31395ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.6368",
    "kind": "arxiv",
    "version": 1
  }
}