Pith Number

pith:4YXFQP74

pith:2011:4YXFQP74END6GFELMQBNEBSWB3

not attested not anchored not stored refs pending

The vacuum tunnelling and the crossover of deconfinement in Friedberg-Lee model

Jia-rong Li, Song Shu

arxiv:1111.1421 v3 · 2011-11-06 · 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{4YXFQP74END6GFELMQBNEBSWB3}

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	2026-05-18T03:30:12.682933Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e62e583ffc2347e3148b6402d206560ef654cba1f3a1def3a951a2cf5e77ee45

Aliases

arxiv: 1111.1421 · arxiv_version: 1111.1421v3 · doi: 10.48550/arxiv.1111.1421 · pith_short_12: 4YXFQP74END6 · pith_short_16: 4YXFQP74END6GFEL · pith_short_8: 4YXFQP74

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/4YXFQP74END6GFELMQBNEBSWB3 \
  | 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: e62e583ffc2347e3148b6402d206560ef654cba1f3a1def3a951a2cf5e77ee45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68311453625a407958dd5ac416b967c394013f827013719306bb7dba67277d11",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2011-11-06T13:47:37Z",
    "title_canon_sha256": "0fa84cd82d10df62a3e3ef316fc90478d2da0b6dc6723a9befe1e13eb5bf0030"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.1421",
    "kind": "arxiv",
    "version": 3
  }
}