Pith Number

pith:S7GCFA6H

pith:2011:S7GCFA6HPEYBBVGSVR7J775PNU

not attested not anchored not stored refs pending

The Liouville side of the Vortex

Alessandro Tanzini, Giulio Bonelli, Jian Zhao

arxiv:1107.2787 v1 · 2011-07-14 · hep-th · 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{S7GCFA6HPEYBBVGSVR7J775PNU}

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.

Cited by

1 paper in Pith

Defects, nested instantons and comet shaped quivers

Receipt and verification

First computed	2026-05-18T02:01:17.072929Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97cc2283c7793010d4d2ac7e9fffaf6d0c954f3e19cca03b08530da7405652a1

Aliases

arxiv: 1107.2787 · arxiv_version: 1107.2787v1 · doi: 10.48550/arxiv.1107.2787 · pith_short_12: S7GCFA6HPEYB · pith_short_16: S7GCFA6HPEYBBVGS · pith_short_8: S7GCFA6H

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/S7GCFA6HPEYBBVGSVR7J775PNU \
  | 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: 97cc2283c7793010d4d2ac7e9fffaf6d0c954f3e19cca03b08530da7405652a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d8b4ff6511af70ea7577de10b2f53e2cd69fc2e01afede5770322944d0514fb",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2011-07-14T11:16:59Z",
    "title_canon_sha256": "b5a7ea996d516cb7327248435755c9759be89ed05170df00a130b0a5f79d9bcc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.2787",
    "kind": "arxiv",
    "version": 1
  }
}