Pith Number

pith:2TZPFCCV

pith:2026:2TZPFCCVC3LXJZE2EZJSSKYAJ7

not attested not anchored not stored refs pending

Gapped Parent Hamiltonians for the Strongly Deformed Toric Code

Jason Alicea, Nandagopal Manoj, Zack Weinstein

arxiv:2607.28740 v1 · 2026-07-30 · cond-mat.str-el · cond-mat.stat-mech · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2TZPFCCVC3LXJZE2EZJSSKYAJ7}

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	2026-08-03T00:12:32.429822Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4f2f2885516d774e49a2653292b004fcc4dc0109f629c696ba7a065c948559a

Aliases

arxiv: 2607.28740 · arxiv_version: 2607.28740v1 · doi: 10.48550/arxiv.2607.28740 · pith_short_12: 2TZPFCCVC3LX · pith_short_16: 2TZPFCCVC3LXJZE2 · pith_short_8: 2TZPFCCV

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/2TZPFCCVC3LXJZE2EZJSSKYAJ7 \
  | 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: d4f2f2885516d774e49a2653292b004fcc4dc0109f629c696ba7a065c948559a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f61298f858f63518e2ac6be0b4f32685c3fd74ade75d198b599c53d41b25ffdc",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "quant-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2026-07-30T18:01:31Z",
    "title_canon_sha256": "0acdfed2e263d03de88f5ba9ada220dbcf5a4c63e98be55c72b84c1de256786e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.28740",
    "kind": "arxiv",
    "version": 1
  }
}