Pith Number

pith:MNVXJEOQ

pith:1993:MNVXJEOQDJFNMX6R6K65JDFBEO

not attested not anchored not stored refs pending

Chiral Symmetry Breaking in the Nambu-Jona-Lasinio Model in Curved Spacetime with Non-Trivial Topology

E. Elizalde, S.D. Odintsov, S. Leseduarte

arxiv:hep-th/9312164 v1 · 1993-12-20 · 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{MNVXJEOQDJFNMX6R6K65JDFBEO}

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	2026-07-04T15:50:08.404809Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

636b7491d01a4ad65fd1f2bdd48ca123b4d5343aeddc59a4441251e088d3f540

Aliases

arxiv: hep-th/9312164 · arxiv_version: hep-th/9312164v1 · doi: 10.48550/arxiv.hep-th/9312164 · pith_short_12: MNVXJEOQDJFN · pith_short_16: MNVXJEOQDJFNMX6R · pith_short_8: MNVXJEOQ

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/MNVXJEOQDJFNMX6R6K65JDFBEO \
  | 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: 636b7491d01a4ad65fd1f2bdd48ca123b4d5343aeddc59a4441251e088d3f540

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c6ebfb05284cd9e4d1d0a92fd871286cda4c97e6b90173204a0ee54d7f62f59",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1993-12-20T15:09:34Z",
    "title_canon_sha256": "0228f1e869cef2f9d6199d96504290fd4eb0ec8f65fac3947a1927ed3a151bb1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9312164",
    "kind": "arxiv",
    "version": 1
  }
}