Pith Number

pith:PRK4E6JE

pith:2021:PRK4E6JET7VPBW6M2ET3ZNLMFD

not attested not anchored not stored refs pending

Bosonic fluctuations in the $( 1 + 1 )$-dimensional Gross-Neveu(-Yukawa) model at varying $\mu$ and $T$ and finite $N$

Adrian Koenigstein, Jonas Stoll, Martin J. Steil, Niklas Zorbach, Stefan Rechenberger

arxiv:2108.10616 v1 · 2021-08-24 · hep-ph · cond-mat.str-el · nucl-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PRK4E6JET7VPBW6M2ET3ZNLMFD}

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	2026-07-05T03:08:11.527224Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c55c279249feaf0dbccd127bcb56c28e6e1a76e01ba83d483f89863137ce4c6

Aliases

arxiv: 2108.10616 · arxiv_version: 2108.10616v1 · doi: 10.48550/arxiv.2108.10616 · pith_short_12: PRK4E6JET7VP · pith_short_16: PRK4E6JET7VPBW6M · pith_short_8: PRK4E6JE

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/PRK4E6JET7VPBW6M2ET3ZNLMFD \
  | 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: 7c55c279249feaf0dbccd127bcb56c28e6e1a76e01ba83d483f89863137ce4c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7677c4db07c84324ac437fd84fa224fe5072e856238c86aec2bae8c981cfc254",
    "cross_cats_sorted": [
      "cond-mat.str-el",
      "nucl-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2021-08-24T10:06:08Z",
    "title_canon_sha256": "a1f2817eb9dd065342b620acc0c6a0a411a951fe60603db7aa83db17514bb0d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.10616",
    "kind": "arxiv",
    "version": 1
  }
}