Pith Number

pith:N6JVJSBD

pith:2003:N6JVJSBDLJN5UL76BTHBIUSNJT

not attested not anchored not stored refs pending

Formal Proof of an Exact Scale Invariance in the Nambu-Jona-Lasinio Model

Keiichi Akama

arxiv:hep-th/0312152 v2 · 2003-12-13 · 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{N6JVJSBDLJN5UL76BTHBIUSNJT}

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	2026-05-18T01:05:58.976286Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f9354c8235a5bda2ffe0cce14524d4cfd9e3fbd990fbd6c3c5ed9af41946a77

Aliases

arxiv: hep-th/0312152 · arxiv_version: hep-th/0312152v2 · doi: 10.48550/arxiv.hep-th/0312152 · pith_short_12: N6JVJSBDLJN5 · pith_short_16: N6JVJSBDLJN5UL76 · pith_short_8: N6JVJSBD

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/N6JVJSBDLJN5UL76BTHBIUSNJT \
  | 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: 6f9354c8235a5bda2ffe0cce14524d4cfd9e3fbd990fbd6c3c5ed9af41946a77

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "114d4e39f3ded650a8eac6f21d5b7836c72a411e83d740f89f940f3ebaea587b",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2003-12-13T11:22:09Z",
    "title_canon_sha256": "5ab31943fb87f815006e9deedc6b09a1027b8f7ddd98e440bf6a03d9812a7703"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0312152",
    "kind": "arxiv",
    "version": 2
  }
}