Pith Number

pith:HXRBOHTV

pith:2016:HXRBOHTV22HREARFQT4YBXGMKJ

not attested not anchored not stored refs pending

The gap of Fredkin quantum spin chain is polynomially small

Ramis Movassagh

arxiv:1609.09160 v2 · 2016-09-29 · quant-ph · cond-mat.stat-mech · cond-mat.str-el · math-ph · math.CO · 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{HXRBOHTV22HREARFQT4YBXGMKJ}

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	2026-05-18T00:05:46.407543Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3de2171e75d68f12022584f980dccc5270a3aa8761860f63f858760118154745

Aliases

arxiv: 1609.09160 · arxiv_version: 1609.09160v2 · doi: 10.48550/arxiv.1609.09160 · pith_short_12: HXRBOHTV22HR · pith_short_16: HXRBOHTV22HREARF · pith_short_8: HXRBOHTV

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/HXRBOHTV22HREARFQT4YBXGMKJ \
  | 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: 3de2171e75d68f12022584f980dccc5270a3aa8761860f63f858760118154745

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ebf886decb9b8abed73c68254d7415aeb113ba759404a6a4d307f1f0c52ef8a4",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "cond-mat.str-el",
      "math-ph",
      "math.CO",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2016-09-29T00:15:28Z",
    "title_canon_sha256": "4f5a8eda64a717a9461aba28ce75aaec021d98416df56f79f7a993a085d88424"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.09160",
    "kind": "arxiv",
    "version": 2
  }
}