Pith Number

pith:HCB3LDD7

pith:1999:HCB3LDD76XAQ72YG5OO7QFXNPI

not attested not anchored not stored refs pending

BKT phase transitions in two-dimensional systems with internal symmetries

Moscow), S.A.Bulgadaev (Landau Institute

arxiv:hep-th/9906091 v1 · 1999-06-12 · hep-th · cond-mat

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HCB3LDD76XAQ72YG5OO7QFXNPI}

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	2026-05-18T01:05:54.915147Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3883b58c7ff5c10feb06eb9df816ed7a2f547fb11a549bdd55b2980c68234e4f

Aliases

arxiv: hep-th/9906091 · arxiv_version: hep-th/9906091v1 · doi: 10.48550/arxiv.hep-th/9906091 · pith_short_12: HCB3LDD76XAQ · pith_short_16: HCB3LDD76XAQ72YG · pith_short_8: HCB3LDD7

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/HCB3LDD76XAQ72YG5OO7QFXNPI \
  | 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: 3883b58c7ff5c10feb06eb9df816ed7a2f547fb11a549bdd55b2980c68234e4f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4cabaef191d3c1b1a954838ce7fe59062c37d28bda16d077cd52807860e8231b",
    "cross_cats_sorted": [
      "cond-mat"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1999-06-12T13:53:02Z",
    "title_canon_sha256": "a009f818999fccc23d16a103c76a6cd60979b87fbab813b97e9395015bff9c21"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9906091",
    "kind": "arxiv",
    "version": 1
  }
}