Pith Number

pith:P3ZNBH2V

pith:2012:P3ZNBH2VOY75RKMKCC4UDZE6K2

not attested not anchored not stored refs pending

Superconducting phase transitions induced by chemical potential in (2+1)-dimensional four-fermion quantum field theory

K.G. Klimenko, R.N. Zhokhov, V.Ch. Zhukovsky

arxiv:1210.7934 v1 · 2012-10-30 · hep-th · hep-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P3ZNBH2VOY75RKMKCC4UDZE6K2}

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	2026-05-18T01:53:35.776662Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ef2d09f55763fd8a98a10b941e49e56a6835f0e162122f4426a426dc0f43cf4

Aliases

arxiv: 1210.7934 · arxiv_version: 1210.7934v1 · doi: 10.48550/arxiv.1210.7934 · pith_short_12: P3ZNBH2VOY75 · pith_short_16: P3ZNBH2VOY75RKMK · pith_short_8: P3ZNBH2V

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/P3ZNBH2VOY75RKMKCC4UDZE6K2 \
  | 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: 7ef2d09f55763fd8a98a10b941e49e56a6835f0e162122f4426a426dc0f43cf4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "323d7c861d155f902012f1484a9bc30f8b0d1ebc4d79ce1ff4f5625a0355e3aa",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2012-10-30T09:03:45Z",
    "title_canon_sha256": "5b24720b7662fc579e7729c9b42eb8917c57ecc02dadef0e890ae9db5cbbffe3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.7934",
    "kind": "arxiv",
    "version": 1
  }
}