Pith Number

pith:6SX7WC4T

pith:2017:6SX7WC4TWFIDI3IBDXWEAHDXTU

not attested not anchored not stored refs pending

Free Energy of a Large-$N$ Pion Gas and Chiral Symmetry Restoration

\'Angel G\'omez Nicola, John Morales, Santiago Cort\'es

arxiv:1712.00083 v1 · 2017-11-30 · 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{6SX7WC4TWFIDI3IBDXWEAHDXTU}

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	2026-05-18T00:29:07.422676Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f4affb0b93b150346d011dec401c779d00955ac00f2700e2b481042d95329a1d

Aliases

arxiv: 1712.00083 · arxiv_version: 1712.00083v1 · doi: 10.48550/arxiv.1712.00083 · pith_short_12: 6SX7WC4TWFID · pith_short_16: 6SX7WC4TWFIDI3IB · pith_short_8: 6SX7WC4T

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/6SX7WC4TWFIDI3IBDXWEAHDXTU \
  | 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: f4affb0b93b150346d011dec401c779d00955ac00f2700e2b481042d95329a1d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b76243a996b55a72eaacd1d11d17b59bdf402dea0547760ff1f38744c838958",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2017-11-30T21:09:52Z",
    "title_canon_sha256": "bf67127483bf3b088e7e2810751678cbddc46f2ff3b349e7c1574891e8d5b94a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.00083",
    "kind": "arxiv",
    "version": 1
  }
}