Pith Number

pith:PIDBO4KK

pith:2015:PIDBO4KKNQGXMXFTS4QS2BIFEG

not attested not anchored not stored refs pending

Using zeros of the canonical partition function map to detect signatures of a Berezinskii-Kosterlitz-Thouless transition

B.V. Costa, J.C.S. Rocha, L.A.S. M\'ol

arxiv:1507.02231 v3 · 2015-07-08 · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PIDBO4KKNQGXMXFTS4QS2BIFEG}

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	2026-05-18T01:01:45.024621Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a0617714a6c0d765cb397212d0505218b2ecdf6105e0b4142e5a3faefa2b033

Aliases

arxiv: 1507.02231 · arxiv_version: 1507.02231v3 · doi: 10.48550/arxiv.1507.02231 · pith_short_12: PIDBO4KKNQGX · pith_short_16: PIDBO4KKNQGXMXFT · pith_short_8: PIDBO4KK

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/PIDBO4KKNQGXMXFTS4QS2BIFEG \
  | 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: 7a0617714a6c0d765cb397212d0505218b2ecdf6105e0b4142e5a3faefa2b033

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "091f021908767a08efc6231f69aae07ce65b6c5a9cc167d75df0b785e49628dc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2015-07-08T17:28:44Z",
    "title_canon_sha256": "8b087acb11a99fca4fc1847b8b0fb28aa78aa118754d1dbaf5304b7372c395b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.02231",
    "kind": "arxiv",
    "version": 3
  }
}