Pith Number

pith:6EEMYVHY

pith:2013:6EEMYVHYAFN6UWIQXPSGTEHXWN

not attested not anchored not stored refs pending

Dual Lie Bialgebras of Witt and Virasoro Types

Guang'ai Song, Yucai Su

arxiv:1306.0781 v1 · 2013-06-04 · math.QA · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6EEMYVHYAFN6UWIQXPSGTEHXWN}

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	2026-05-18T03:21:46.324757Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f108cc54f8015bea5910bbe46990f7b347ef7553f62be51274743d8c5460b378

Aliases

arxiv: 1306.0781 · arxiv_version: 1306.0781v1 · doi: 10.48550/arxiv.1306.0781 · pith_short_12: 6EEMYVHYAFN6 · pith_short_16: 6EEMYVHYAFN6UWIQ · pith_short_8: 6EEMYVHY

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/6EEMYVHYAFN6UWIQXPSGTEHXWN \
  | 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: f108cc54f8015bea5910bbe46990f7b347ef7553f62be51274743d8c5460b378

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "527f39e7cbd34f597a08ea106887927a5ab154c91bb57fad5630cd8d3f204ebf",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2013-06-04T13:33:16Z",
    "title_canon_sha256": "d6db08e063217e4a933b4dff01bbd747dbf322884c65a263944a59797b4dab39"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.0781",
    "kind": "arxiv",
    "version": 1
  }
}