Pith Number

pith:4XFMDFTB

pith:2021:4XFMDFTBTUATCEMLZ3UDU3QDHU

not attested not anchored not stored refs pending

Categories of quantum liquids II

Hao Zheng, Liang Kong

arxiv:2107.03858 v3 · 2021-07-08 · math.CT · cond-mat.str-el · hep-th · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4XFMDFTBTUATCEMLZ3UDU3QDHU}

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.

Cited by

1 paper in Pith

Fracton Topological Holography

Receipt and verification

First computed	2026-07-05T08:58:38.499405Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5cac196619d0131118bcee83a6e033d26d4740aee374997d1f0e64e23748fee

Aliases

arxiv: 2107.03858 · arxiv_version: 2107.03858v3 · doi: 10.48550/arxiv.2107.03858 · pith_short_12: 4XFMDFTBTUAT · pith_short_16: 4XFMDFTBTUATCEML · pith_short_8: 4XFMDFTB

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/4XFMDFTBTUATCEMLZ3UDU3QDHU \
  | 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: e5cac196619d0131118bcee83a6e033d26d4740aee374997d1f0e64e23748fee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6859ae172184ca97e148ab40f5fdb19ccc0782ddec9e8eab89020e7704720bf2",
    "cross_cats_sorted": [
      "cond-mat.str-el",
      "hep-th",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2021-07-08T14:16:43Z",
    "title_canon_sha256": "2d1fb0ac41b126c2354bb3eae7439810a27947558da472281d5bfeacdc0a84de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.03858",
    "kind": "arxiv",
    "version": 3
  }
}