Pith Number

pith:FVKEH5BU

pith:2011:FVKEH5BUDXARGTXD7GN4SKX5CJ

not attested not anchored not stored refs pending

Entanglement Entropy of Gapped Phases and Topological Order in Three dimensions

Ari M. Turner, Ashvin Vishwanath, Tarun Grover

arxiv:1108.4038 v1 · 2011-08-19 · cond-mat.str-el · hep-th · 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{FVKEH5BUDXARGTXD7GN4SKX5CJ}

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	2026-05-18T04:06:44.719679Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d5443f4341dc1134ee3f99bc92afd125c093757be794879629790cb6821189e

Aliases

arxiv: 1108.4038 · arxiv_version: 1108.4038v1 · doi: 10.48550/arxiv.1108.4038 · pith_short_12: FVKEH5BUDXAR · pith_short_16: FVKEH5BUDXARGTXD · pith_short_8: FVKEH5BU

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/FVKEH5BUDXARGTXD7GN4SKX5CJ \
  | 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: 2d5443f4341dc1134ee3f99bc92afd125c093757be794879629790cb6821189e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af64f5281e3b779483c014cdae57b10225a75293b6f9cc5f72dafeb602f780de",
    "cross_cats_sorted": [
      "hep-th",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2011-08-19T20:00:27Z",
    "title_canon_sha256": "9095ef088a3aa03ffee75d48918f09c2ffe835e7bb3fd103c8ff92b985aac92a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.4038",
    "kind": "arxiv",
    "version": 1
  }
}