Pith Number

pith:NU7M5LNZ

pith:1999:NU7M5LNZ7HBOBZKEM3ZAXZDTCR

not attested not anchored not stored refs pending

Logarithmic Operators in the Theory of Plateau Transition

Alexei M. Tsvelik, Ian I. Kogan

arxiv:hep-th/9912143 v1 · 1999-12-16 · 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{NU7M5LNZ7HBOBZKEM3ZAXZDTCR}

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	2026-05-18T00:54:16.028002Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6d3eceadb9f9c2e0e54466f20be4731462e04eb7c5998983a6d396cec623d911

Aliases

arxiv: hep-th/9912143 · arxiv_version: hep-th/9912143v1 · doi: 10.48550/arxiv.hep-th/9912143 · pith_short_12: NU7M5LNZ7HBO · pith_short_16: NU7M5LNZ7HBOBZKE · pith_short_8: NU7M5LNZ

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/NU7M5LNZ7HBOBZKEM3ZAXZDTCR \
  | 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: 6d3eceadb9f9c2e0e54466f20be4731462e04eb7c5998983a6d396cec623d911

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3aaf3d35f59937e46d253b0ac4c6808937296b7b008b2ace4dd348e20b2bf9f",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1999-12-16T16:07:09Z",
    "title_canon_sha256": "fa3756ebc4bc0561739d272a1f2a24b314d443721a47adddb2c62a0fd97962eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9912143",
    "kind": "arxiv",
    "version": 1
  }
}