Pith Number

pith:BEHDBTCJ

pith:2019:BEHDBTCJIXOYX7UC3SRHO7MAC2

not attested not anchored not stored refs pending

The AKLT model on a hexagonal chain is gapped

Anders Sandvik, Marius Lemm, Sibin Yang

arxiv:1904.01043 v1 · 2019-04-01 · quant-ph · cond-mat.stat-mech · cond-mat.str-el · math-ph · 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{BEHDBTCJIXOYX7UC3SRHO7MAC2}

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.

Cited by

1 paper in Pith

A Hierarchy of Spectral Gap Certificates for Frustration-Free Spin Systems

Receipt and verification

First computed	2026-07-05T00:31:47.902461Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

090e30cc4945dd8bfe82dca2777d8016b91a20d63ce60e98ba0689c5f3c10ca5

Aliases

arxiv: 1904.01043 · arxiv_version: 1904.01043v1 · doi: 10.48550/arxiv.1904.01043 · pith_short_12: BEHDBTCJIXOY · pith_short_16: BEHDBTCJIXOYX7UC · pith_short_8: BEHDBTCJ

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/BEHDBTCJIXOYX7UC3SRHO7MAC2 \
  | 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: 090e30cc4945dd8bfe82dca2777d8016b91a20d63ce60e98ba0689c5f3c10ca5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70a2218088b7b4532093ce7daad9c58782ab9bee174e9a6f5b3e97a960a81657",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "cond-mat.str-el",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2019-04-01T18:12:01Z",
    "title_canon_sha256": "52bf440cbbc311a6ae3e309ccfa24f1667100ff3770beb3215affe32cdcd9142"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.01043",
    "kind": "arxiv",
    "version": 1
  }
}