Pith Number

pith:QD3Z4WDJ

pith:2021:QD3Z4WDJOG5MHVESSI54H7WUDE

not attested not anchored not stored refs pending

Exact weak bosonic zero modes in a spin/fermion chain

Jianlong Fu

arxiv:2112.12824 v3 · 2021-12-23 · 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{QD3Z4WDJOG5MHVESSI54H7WUDE}

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	2026-07-05T05:14:09.985039Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80f79e586971bac3d492923bc3fed4191c9d3d7772291096dd22a751f69b0266

Aliases

arxiv: 2112.12824 · arxiv_version: 2112.12824v3 · doi: 10.48550/arxiv.2112.12824 · pith_short_12: QD3Z4WDJOG5M · pith_short_16: QD3Z4WDJOG5MHVES · pith_short_8: QD3Z4WDJ

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/QD3Z4WDJOG5MHVESSI54H7WUDE \
  | 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: 80f79e586971bac3d492923bc3fed4191c9d3d7772291096dd22a751f69b0266

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e6cef7f751fdd87f83f90fc99901f258f8f2d1b18b12dd891d44398a5c9d107",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2021-12-23T19:58:16Z",
    "title_canon_sha256": "bd453222e89bfe1b69c486aae4d750673b61d2948a5d572b6322720a59ce6e6b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.12824",
    "kind": "arxiv",
    "version": 3
  }
}