Pith Number

pith:F4LIQLDM

pith:2017:F4LIQLDMBOVZU6DM6KHNO7KMDO

not attested not anchored not stored refs pending

Bootstrapping the Spectral Function: On the Uniqueness of Liouville and the Universality of BTZ

Petr Kravchuk, Scott Collier, Xi Yin, Ying-Hsuan Lin

arxiv:1702.00423 v1 · 2017-02-01 · 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{F4LIQLDMBOVZU6DM6KHNO7KMDO}

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	2026-05-18T00:03:19.889571Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f16882c6c0bab9a786cf28ed77d4c1ba07d442b5712c7ac65c9ec3dca32d3b2

Aliases

arxiv: 1702.00423 · arxiv_version: 1702.00423v1 · doi: 10.48550/arxiv.1702.00423 · pith_short_12: F4LIQLDMBOVZ · pith_short_16: F4LIQLDMBOVZU6DM · pith_short_8: F4LIQLDM

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/F4LIQLDMBOVZU6DM6KHNO7KMDO \
  | 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: 2f16882c6c0bab9a786cf28ed77d4c1ba07d442b5712c7ac65c9ec3dca32d3b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a0b987af4efd09035c06f215c945a1f4ebe707d7747117f0ad738d96a79130a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2017-02-01T19:25:11Z",
    "title_canon_sha256": "178ac8f99562f56eecc3778efa4653fd01bc9ea5935b90ba6341196bf95c9b64"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.00423",
    "kind": "arxiv",
    "version": 1
  }
}