Pith Number

pith:LSOXO77A

pith:1998:LSOXO77AKVY67KXMK6MSUFPZBF

not attested not anchored not stored refs pending

The U(1) phase transition on toroidal and spherical lattices

Alfonso Tarancon, Andres Cruz, Isabel Campos

arxiv:hep-lat/9808043 v1 · 1998-08-27 · hep-lat

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LSOXO77AKVY67KXMK6MSUFPZBF}

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	2026-07-04T16:09:02.993488Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c9d777fe05571efaaec57992a15f9094a53e2a9ea1d7f5f2247e464eff26391

Aliases

arxiv: hep-lat/9808043 · arxiv_version: hep-lat/9808043v1 · doi: 10.48550/arxiv.hep-lat/9808043 · pith_short_12: LSOXO77AKVY6 · pith_short_16: LSOXO77AKVY67KXM · pith_short_8: LSOXO77A

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/LSOXO77AKVY67KXMK6MSUFPZBF \
  | 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: 5c9d777fe05571efaaec57992a15f9094a53e2a9ea1d7f5f2247e464eff26391

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d23ba5066186e0079c5bd19220a646614604cd4bda676c87eb350e67af932bc9",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-lat",
    "submitted_at": "1998-08-27T14:35:40Z",
    "title_canon_sha256": "a5239bec715d5c13dfbe31f95001b083e76d8e4a0abe7593496dc61beca4c5d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-lat/9808043",
    "kind": "arxiv",
    "version": 1
  }
}