Pith Number

pith:GRK4NZJM

pith:2021:GRK4NZJMH36CTQFFEKMY42TG2T

not attested not anchored not stored refs pending

Loops in 4+1d Topological Phases

Arpit Dua, Cenke Xu, Chao-Ming Jian, Po-Shen Hsin, Wilbur Shirley, Xie Chen

arxiv:2112.02137 v3 · 2021-12-03 · cond-mat.str-el · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GRK4NZJMH36CTQFFEKMY42TG2T}

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	2026-07-05T06:27:27.176893Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3455c6e52c3efc29c0a522998e6a66d4d069d6c7dedad3b317b7fd1bb6dc7604

Aliases

arxiv: 2112.02137 · arxiv_version: 2112.02137v3 · doi: 10.48550/arxiv.2112.02137 · pith_short_12: GRK4NZJMH36C · pith_short_16: GRK4NZJMH36CTQFF · pith_short_8: GRK4NZJM

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/GRK4NZJMH36CTQFFEKMY42TG2T \
  | 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: 3455c6e52c3efc29c0a522998e6a66d4d069d6c7dedad3b317b7fd1bb6dc7604

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "062e8d441799a4cfc3081ace0cb2b4b54a5dff433f12e987dd6f674b4ad221fe",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2021-12-03T19:43:21Z",
    "title_canon_sha256": "ddcc1eb4b6ededaefc2e6e3133deef01fcaee0f0adb4a94eb66360db72034b13"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.02137",
    "kind": "arxiv",
    "version": 3
  }
}