Pith Number

pith:TZB2HLOS

pith:2021:TZB2HLOSX2W5QQPUQMIHAUDQYI

not attested not anchored not stored refs pending

Periodicities in a multiply connected geometry from quenched dynamics

Hai-Qing Zhang, Zhi-hong Li

arxiv:2111.05568 v3 · 2021-11-10 · 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{TZB2HLOSX2W5QQPUQMIHAUDQYI}

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	2026-07-05T04:31:57.830688Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e43a3add2beadd841f48310705070c23740fe945c999050b32def7faf710656

Aliases

arxiv: 2111.05568 · arxiv_version: 2111.05568v3 · doi: 10.48550/arxiv.2111.05568 · pith_short_12: TZB2HLOSX2W5 · pith_short_16: TZB2HLOSX2W5QQPU · pith_short_8: TZB2HLOS

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/TZB2HLOSX2W5QQPUQMIHAUDQYI \
  | 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: 9e43a3add2beadd841f48310705070c23740fe945c999050b32def7faf710656

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8da31f2f513a39ce2ac5b224f74bef36ddc96120dca635e199d62ae67861a25a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2021-11-10T08:29:46Z",
    "title_canon_sha256": "b26991fa9dfd392dc255be1f3e931a2ceff18c3f3b20b4d9714cfbb1c5dcfbe3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.05568",
    "kind": "arxiv",
    "version": 3
  }
}