Pith Number

pith:3577GMGG

pith:2013:3577GMGG5TWZCQC53EZITNP5PU

not attested not anchored not stored refs pending

Topological Response Theory of Abelian Symmetry-Protected Topological Phases in Two Dimensions

Meng Cheng, Zheng-Cheng Gu

arxiv:1302.4803 v3 · 2013-02-20 · 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{3577GMGG5TWZCQC53EZITNP5PU}

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

Subdimensional Entanglement Entropy: From Geometric-Topological Response to Mixed-State Holography

Receipt and verification

First computed	2026-05-18T02:54:28.112900Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df7ff330c6eced91405dd93289b5fd7d1bae85c2959a53a4f0c8e610e35a9b09

Aliases

arxiv: 1302.4803 · arxiv_version: 1302.4803v3 · doi: 10.48550/arxiv.1302.4803 · pith_short_12: 3577GMGG5TWZ · pith_short_16: 3577GMGG5TWZCQC5 · pith_short_8: 3577GMGG

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/3577GMGG5TWZCQC53EZITNP5PU \
  | 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: df7ff330c6eced91405dd93289b5fd7d1bae85c2959a53a4f0c8e610e35a9b09

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "999f180db462be074fda71dc050215231276e0c755cb7e4b466e33a0509983ef",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2013-02-20T03:40:05Z",
    "title_canon_sha256": "c42c6d1543d0138f7b5f3adc9ef5f1a987fb498613a0063fb7e9d5168974228a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.4803",
    "kind": "arxiv",
    "version": 3
  }
}