Pith Number

pith:WSOWUKXI

pith:2015:WSOWUKXI5GGFDDG5X2NPS4XZK3

not attested not anchored not stored refs pending

A theory of 2+1D fermionic topological orders and fermionic/bosonic topological orders with symmetries

Liang Kong, Tian Lan, Xiao-Gang Wen

arxiv:1507.04673 v2 · 2015-07-16 · cond-mat.str-el

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WSOWUKXI5GGFDDG5X2NPS4XZK3}

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	2026-05-18T01:02:28.951458Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b49d6a2ae8e98c518cddbe9af972f956f8060c2ad76c685bc4765562b48133d2

Aliases

arxiv: 1507.04673 · arxiv_version: 1507.04673v2 · doi: 10.48550/arxiv.1507.04673 · pith_short_12: WSOWUKXI5GGF · pith_short_16: WSOWUKXI5GGFDDG5 · pith_short_8: WSOWUKXI

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/WSOWUKXI5GGFDDG5X2NPS4XZK3 \
  | 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: b49d6a2ae8e98c518cddbe9af972f956f8060c2ad76c685bc4765562b48133d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c38ceb0544ed66d9aec237db76d8701ca8b224cb5f94f8cf819bbd0ae2ae3b70",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2015-07-16T18:00:54Z",
    "title_canon_sha256": "2cc2726c8dc442011c8dea610a9525655f40276d8a7a6b78b81d8d9f1b780ba6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.04673",
    "kind": "arxiv",
    "version": 2
  }
}