Pith Number

pith:KGSNQW4L

pith:2021:KGSNQW4LIA3YIQXUNCURORMN33

not attested not anchored not stored refs pending

Enforced symmetry breaking by invertible topological order

Chenjie Wang, Shang-Qiang Ning, Yang Qi, Zheng-Cheng Gu

arxiv:2109.15307 v2 · 2021-09-30 · cond-mat.str-el · cond-mat.supr-con · hep-th · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KGSNQW4LIA3YIQXUNCURORMN33}

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	2026-07-05T07:19:15.942512Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51a4d85b8b40378442f468a917458ddefb128ad1095dea4deb3a10ec0b4fbf88

Aliases

arxiv: 2109.15307 · arxiv_version: 2109.15307v2 · doi: 10.48550/arxiv.2109.15307 · pith_short_12: KGSNQW4LIA3Y · pith_short_16: KGSNQW4LIA3YIQXU · pith_short_8: KGSNQW4L

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/KGSNQW4LIA3YIQXUNCURORMN33 \
  | 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: 51a4d85b8b40378442f468a917458ddefb128ad1095dea4deb3a10ec0b4fbf88

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18bdf134ba6a57a5a094c9f8a9447a7d9fa53e1e3f0b86dcf376c0deb19705b3",
    "cross_cats_sorted": [
      "cond-mat.supr-con",
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2021-09-30T17:51:25Z",
    "title_canon_sha256": "b03277bae76a20c02984fd286434bc133014680bcbcee891657f5807d48140c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.15307",
    "kind": "arxiv",
    "version": 2
  }
}