Pith Number

pith:2NKUEQI2

pith:2020:2NKUEQI2BAVZGU3LHYBL7D4PZX

not attested not anchored not stored refs pending

Phase transition into Instanton Crystal

Grigory A. Starkov, Konstantin B. Efetov

arxiv:2011.12157 v1 · 2020-11-24 · cond-mat.str-el

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2NKUEQI2BAVZGU3LHYBL7D4PZX}

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	2026-07-05T02:15:36.011896Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d35542411a082b93536b3e02bf8f8fcdcdcd9c5b8a6832ca59c0484296bf23d0

Aliases

arxiv: 2011.12157 · arxiv_version: 2011.12157v1 · doi: 10.48550/arxiv.2011.12157 · pith_short_12: 2NKUEQI2BAVZ · pith_short_16: 2NKUEQI2BAVZGU3L · pith_short_8: 2NKUEQI2

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/2NKUEQI2BAVZGU3LHYBL7D4PZX \
  | 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: d35542411a082b93536b3e02bf8f8fcdcdcd9c5b8a6832ca59c0484296bf23d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02d165658b28858ef0ead6448ed85d21b9b92f7efd5fc16deac13601776e973e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2020-11-24T15:15:40Z",
    "title_canon_sha256": "c396b7f640d8e5c06bf7fd4c0692edabe3e621c3dcfb27b22e36404886dac0e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2011.12157",
    "kind": "arxiv",
    "version": 1
  }
}