Pith Number

pith:S4FHFMJP

pith:2026:S4FHFMJPVVFMLVH3VBMZRYPUAC

not attested not anchored not stored refs pending

Exact dimer ground states of long-range spin chains and ladders

J\k{e}drzej Wardyn, Mi{\l}osz Panfil

arxiv:2607.01081 v1 · 2026-07-01 · cond-mat.str-el

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S4FHFMJPVVFMLVH3VBMZRYPUAC}

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	2026-07-02T01:18:28.171298Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

970a72b12fad4ac5d4fba85998e1f400b93800570de8c46b61d3443025f24165

Aliases

arxiv: 2607.01081 · arxiv_version: 2607.01081v1 · doi: 10.48550/arxiv.2607.01081 · pith_short_12: S4FHFMJPVVFM · pith_short_16: S4FHFMJPVVFMLVH3 · pith_short_8: S4FHFMJP

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/S4FHFMJPVVFMLVH3VBMZRYPUAC \
  | 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: 970a72b12fad4ac5d4fba85998e1f400b93800570de8c46b61d3443025f24165

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4eea67493ece5d9538af7b8afb229641a9e96cc77c41183a329cdedf51061e4",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2026-07-01T15:38:10Z",
    "title_canon_sha256": "addacc9435299111c49ccc50dff7fae1446891870ff549597679ccf8a87bdbce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.01081",
    "kind": "arxiv",
    "version": 1
  }
}