Pith Number

pith:UTWGEPJP

pith:2011:UTWGEPJPVJ66MV42CGSM6CNW5V

not attested not anchored not stored refs pending

Genus-1 Virasoro conjecture along quantum volume direction

Xiaobo Liu

arxiv:1106.3735 v1 · 2011-06-19 · math.DG · math-ph · math.AG · 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{UTWGEPJPVJ66MV42CGSM6CNW5V}

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	2026-05-18T04:19:42.306549Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4ec623d2faa7de6579a11a4cf09b6ed6368ff7e5a2321dd94db495a30dc0cb9

Aliases

arxiv: 1106.3735 · arxiv_version: 1106.3735v1 · doi: 10.48550/arxiv.1106.3735 · pith_short_12: UTWGEPJPVJ66 · pith_short_16: UTWGEPJPVJ66MV42 · pith_short_8: UTWGEPJP

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/UTWGEPJPVJ66MV42CGSM6CNW5V \
  | 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: a4ec623d2faa7de6579a11a4cf09b6ed6368ff7e5a2321dd94db495a30dc0cb9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e2909c470aac9cc8fef3a080416bbe7d100e1877c67729242501cf48d045ccbb",
    "cross_cats_sorted": [
      "math-ph",
      "math.AG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-06-19T11:53:38Z",
    "title_canon_sha256": "813c7490f23781d88aec58d931389ea9e0fa42a53fff28e57a1c7f36650c0885"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.3735",
    "kind": "arxiv",
    "version": 1
  }
}