Pith Number

pith:45V2UFPV

pith:2017:45V2UFPVTKZEKOHQ6FTJOBJX55

not attested not anchored not stored refs pending

A direct proof of dimerization in a family of SU(n)-invariant quantum spin chains

Bruno Nachtergaele, Daniel Ueltschi

arxiv:1701.03983 v3 · 2017-01-15 · math-ph · cond-mat.stat-mech · cond-mat.str-el · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{45V2UFPVTKZEKOHQ6FTJOBJX55}

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	2026-05-18T00:07:33.255434Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e76baa15f59ab24538f0f166970537ef63aa8d32e2d9f8a5bb8857932884dcd3

Aliases

arxiv: 1701.03983 · arxiv_version: 1701.03983v3 · doi: 10.48550/arxiv.1701.03983 · pith_short_12: 45V2UFPVTKZE · pith_short_16: 45V2UFPVTKZEKOHQ · pith_short_8: 45V2UFPV

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/45V2UFPVTKZEKOHQ6FTJOBJX55 \
  | 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: e76baa15f59ab24538f0f166970537ef63aa8d32e2d9f8a5bb8857932884dcd3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e4c7a6d7b4c8ccc7e84a37f6d5f891b61e1b696d9fa68dbfb5dbde91b198c30",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "cond-mat.str-el",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-01-15T02:29:48Z",
    "title_canon_sha256": "42f995d64f5c369907c7a9674b4e90fd960af6f288459754f0388d5133978782"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.03983",
    "kind": "arxiv",
    "version": 3
  }
}