Pith Number

pith:6RNR4XKO

pith:2000:6RNR4XKOL54F4YVU7B7IZ5N5CQ

not attested not anchored not stored refs pending

Hidden Virasoro Symmetry of the Sine Gordon Theory

Davide Fioravanti

arxiv:hep-th/0012008 v2 · 2000-12-01 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6RNR4XKOL54F4YVU7B7IZ5N5CQ}

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	2026-07-04T14:31:27.476701Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f45b1e5d4e5f785e62b4f87e8cf5bd14125b4a29b37d314f543a8bce453e5458

Aliases

arxiv: hep-th/0012008 · arxiv_version: hep-th/0012008v2 · doi: 10.48550/arxiv.hep-th/0012008 · pith_short_12: 6RNR4XKOL54F · pith_short_16: 6RNR4XKOL54F4YVU · pith_short_8: 6RNR4XKO

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/6RNR4XKOL54F4YVU7B7IZ5N5CQ \
  | 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: f45b1e5d4e5f785e62b4f87e8cf5bd14125b4a29b37d314f543a8bce453e5458

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd06ec8f332960e28b8182eaa8406c8400437be35dc5a3d2379d16f52a6724d5",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2000-12-01T18:02:25Z",
    "title_canon_sha256": "1e4188fa995f90e7eb9c780385b1c30772be9a5c7ccc2da2b16b1c627e22d8ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0012008",
    "kind": "arxiv",
    "version": 2
  }
}