Pith Number

pith:BII2QQFB

pith:2026:BII2QQFBQ5O36RFXUCIXH6BN2L

not attested not anchored not stored refs pending

Discrete Laplacian Structure and Kernel Reduction of the Gap Equation in $d=4k+3$ Gross--Neveu Model at Imaginary Chemical Potential

Evangelos G. Filothodoros

arxiv:2605.24615 v1 · 2026-05-23 · hep-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{BII2QQFBQ5O36RFXUCIXH6BN2L}

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	2026-05-26T01:03:49.009209Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a11a840a1875dbf44b7a09173f82dd2e380884b0888a71b6e4d6816aae3d4f1

Aliases

arxiv: 2605.24615 · arxiv_version: 2605.24615v1 · doi: 10.48550/arxiv.2605.24615 · pith_short_12: BII2QQFBQ5O3 · pith_short_16: BII2QQFBQ5O36RFX · pith_short_8: BII2QQFB

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/BII2QQFBQ5O36RFXUCIXH6BN2L \
  | 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: 0a11a840a1875dbf44b7a09173f82dd2e380884b0888a71b6e4d6816aae3d4f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2a180f830c6374fb4d949a3ad2641963147c15247cbf1e8b52573918f76c189",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-05-23T15:00:04Z",
    "title_canon_sha256": "958518feee7217c6ab797af9f5cee5c6d45db7877f95d2d8923069606aef86c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.24615",
    "kind": "arxiv",
    "version": 1
  }
}