Pith Number

pith:PUQHBLRT

pith:2015:PUQHBLRT4MWND2PTFVKRXAISCQ

not attested not anchored not stored refs pending

Quantization of Topological Invariants under Symmetry-Breaking Disorder

Emil Prodan, Juntao Song

arxiv:1507.02605 v3 · 2015-07-09 · cond-mat.dis-nn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PUQHBLRT4MWND2PTFVKRXAISCQ}

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	2026-05-18T01:27:23.167743Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d2070ae33e32cd1e9f32d551b8112141f24ba9d3f9db0f886412653147aac19

Aliases

arxiv: 1507.02605 · arxiv_version: 1507.02605v3 · doi: 10.48550/arxiv.1507.02605 · pith_short_12: PUQHBLRT4MWN · pith_short_16: PUQHBLRT4MWND2PT · pith_short_8: PUQHBLRT

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/PUQHBLRT4MWND2PTFVKRXAISCQ \
  | 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: 7d2070ae33e32cd1e9f32d551b8112141f24ba9d3f9db0f886412653147aac19

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5976224929c206b161b50f842c0140e1ac6f3a7525fb7f20414c8c1f2aadaec8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2015-07-09T17:18:45Z",
    "title_canon_sha256": "96723afc5d90463bcaf83a21dd99de09eaef5566ae271096f4b8a86e7dc499e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.02605",
    "kind": "arxiv",
    "version": 3
  }
}