Pith Number

pith:HLOCU2SD

pith:2015:HLOCU2SDM7FRS2P3LAF2ED3CD3

not attested not anchored not stored refs pending

Topological invariants for phase transition points of one-dimensional $\mathbb{Z}_2$ topological systems

Chao Yang, Linhu Li, Shu Chen

arxiv:1512.07386 v1 · 2015-12-23 · 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{HLOCU2SDM7FRS2P3LAF2ED3CD3}

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	2026-05-18T01:04:28.232903Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3adc2a6a4367cb1969fb580ba20f621ef5e53c6d856f7a1d1ad032d32e8abb51

Aliases

arxiv: 1512.07386 · arxiv_version: 1512.07386v1 · doi: 10.48550/arxiv.1512.07386 · pith_short_12: HLOCU2SDM7FR · pith_short_16: HLOCU2SDM7FRS2P3 · pith_short_8: HLOCU2SD

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/HLOCU2SDM7FRS2P3LAF2ED3CD3 \
  | 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: 3adc2a6a4367cb1969fb580ba20f621ef5e53c6d856f7a1d1ad032d32e8abb51

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9369ce2be98007b4047ed0d6e5b24ff248a808e675bec11cabe3508bc8252ee5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2015-12-23T08:23:58Z",
    "title_canon_sha256": "31ef6d2e93cc364146407690f3032b7783139b5dec7a7cac216cf62e46dc3db9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.07386",
    "kind": "arxiv",
    "version": 1
  }
}