Pith Number

pith:MQJDLERH

pith:2005:MQJDLERHVSHTFZ7SSWCDUVGOB4

not attested not anchored not stored refs pending

Effective Action and Phase Structure of Multi-Layer Sine-Gordon Type Models

I. Nandori, J. Zinn-Justin, U. D. Jentschura

arxiv:hep-th/0509186 v2 · 2005-09-24 · 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{MQJDLERHVSHTFZ7SSWCDUVGOB4}

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	2026-05-18T03:13:43.966175Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6412359227ac8f32e7f295843a54ce0f03f0aee0ad686972e93302d5ec1289f1

Aliases

arxiv: hep-th/0509186 · arxiv_version: hep-th/0509186v2 · doi: 10.48550/arxiv.hep-th/0509186 · pith_short_12: MQJDLERHVSHT · pith_short_16: MQJDLERHVSHTFZ7S · pith_short_8: MQJDLERH

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/MQJDLERHVSHTFZ7SSWCDUVGOB4 \
  | 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: 6412359227ac8f32e7f295843a54ce0f03f0aee0ad686972e93302d5ec1289f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a85878457e9acf02d5738543e48496a0375e12b19dc78475d662be2e9e345ec0",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2005-09-24T08:29:32Z",
    "title_canon_sha256": "4f23e0fe32005199efd4a918a7fece5a5ba3e108bd813e1237cd14f22149cb60"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0509186",
    "kind": "arxiv",
    "version": 2
  }
}