Pith Number

pith:PBZF2ZJW

pith:2011:PBZF2ZJWND5JP5XEOBCYKP2ZEP

not attested not anchored not stored refs pending

Galois Conjugates of Topological Phases

Jan Gukelberger, Matthew B. Hastings, Matthias Troyer, Michael H. Freedman, Simon Trebst, Zhenghan Wang

arxiv:1106.3267 v3 · 2011-06-16 · cond-mat.str-el · cond-mat.mes-hall · 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{PBZF2ZJWND5JP5XEOBCYKP2ZEP}

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	2026-05-18T04:04:54.799852Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78725d653668fa97f6e47045853f5923ddc2538988bb8d94188b27941ec6c51f

Aliases

arxiv: 1106.3267 · arxiv_version: 1106.3267v3 · doi: 10.48550/arxiv.1106.3267 · pith_short_12: PBZF2ZJWND5J · pith_short_16: PBZF2ZJWND5JP5XE · pith_short_8: PBZF2ZJW

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/PBZF2ZJWND5JP5XEOBCYKP2ZEP \
  | 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: 78725d653668fa97f6e47045853f5923ddc2538988bb8d94188b27941ec6c51f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1224b06ad7b8516e7819ff7557edf8f1291f65b0e4256f86e5f5c9bc6a7cc472",
    "cross_cats_sorted": [
      "cond-mat.mes-hall",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2011-06-16T16:28:09Z",
    "title_canon_sha256": "5d2631bbb3e8247cea9b915294d4b47380c7a26799d4ed29a99343d6bc8019fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.3267",
    "kind": "arxiv",
    "version": 3
  }
}