Pith Number

pith:3AN7PVZ2

pith:2011:3AN7PVZ2EIX6OW4G356ZAZOIYI

not attested not anchored not stored refs pending

The critical exponents of the QCD (tri)critical endpoint within exactly solvable models

A. I. Ivanytskyi, K. A. Bugaev

arxiv:1107.1423 v1 · 2011-07-07 · 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{3AN7PVZ2EIX6OW4G356ZAZOIYI}

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	2026-05-18T04:18:44.018379Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d81bf7d73a222fe75b86df7d9065c8c230154e43e04fbff93cd2c950c1b64e21

Aliases

arxiv: 1107.1423 · arxiv_version: 1107.1423v1 · doi: 10.48550/arxiv.1107.1423 · pith_short_12: 3AN7PVZ2EIX6 · pith_short_16: 3AN7PVZ2EIX6OW4G · pith_short_8: 3AN7PVZ2

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/3AN7PVZ2EIX6OW4G356ZAZOIYI \
  | 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: d81bf7d73a222fe75b86df7d9065c8c230154e43e04fbff93cd2c950c1b64e21

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f81a02d78976971502f3be443596116b29495d6e6c5201f260b1b6cd310cc25",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2011-07-07T15:20:58Z",
    "title_canon_sha256": "5b4869a31157f791d82ff5bc94b6378866fef2e6731a002d610acb78a4d0d6ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.1423",
    "kind": "arxiv",
    "version": 1
  }
}