Pith Number

pith:5X7IU3VY

pith:2021:5X7IU3VYZ44VOU32ORF2E573BA

not attested not anchored not stored refs pending

Critical behaviors of the $O(4)$ and $Z(2)$ symmetries in the QCD phase diagram

Rui Wen, Wei-jie Fu, Yong-rui Chen

arxiv:2101.08484 v1 · 2021-01-21 · 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{5X7IU3VYZ44VOU32ORF2E573BA}

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	2026-07-05T03:14:09.395267Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

edfe8a6eb8cf3957537a744ba277fb0839738489cc37b3c99dc77ce54de73cb5

Aliases

arxiv: 2101.08484 · arxiv_version: 2101.08484v1 · doi: 10.48550/arxiv.2101.08484 · pith_short_12: 5X7IU3VYZ44V · pith_short_16: 5X7IU3VYZ44VOU32 · pith_short_8: 5X7IU3VY

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/5X7IU3VYZ44VOU32ORF2E573BA \
  | 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: edfe8a6eb8cf3957537a744ba277fb0839738489cc37b3c99dc77ce54de73cb5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "546e43ff96cf681770a3862a49196dd85e2efa794dffba3a86e1358cacdf5934",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2021-01-21T07:49:34Z",
    "title_canon_sha256": "85c20282ed4ecf83eb2832cf0f5ba7b384695d044e4a2c0d3180c9ecae3652de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2101.08484",
    "kind": "arxiv",
    "version": 1
  }
}