Pith Number

pith:ZQ4KNIDM

pith:2022:ZQ4KNIDMEE6MHPE25VT3ANKHGC

not attested not anchored not stored refs pending

The general approach to the critical phase with coupled quasiperiodic chains

Guang-Can Guo, Ming Gong, Xiaoman Chen, Xiaoshui Lin

arxiv:2209.03060 v2 · 2022-09-07 · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZQ4KNIDMEE6MHPE25VT3ANKHGC}

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	2026-07-05T07:18:54.282476Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc38a6a06c213cc3bc9aed67b0354730b187931f63bca2b262eaef904ac82c4d

Aliases

arxiv: 2209.03060 · arxiv_version: 2209.03060v2 · doi: 10.48550/arxiv.2209.03060 · pith_short_12: ZQ4KNIDMEE6M · pith_short_16: ZQ4KNIDMEE6MHPE2 · pith_short_8: ZQ4KNIDM

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/ZQ4KNIDMEE6MHPE25VT3ANKHGC \
  | 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: cc38a6a06c213cc3bc9aed67b0354730b187931f63bca2b262eaef904ac82c4d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f6b5fb07db032d17dafef892f502ca7ae1e6fcd9bb11a21ebcc4b2813c8afd7",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2022-09-07T10:52:51Z",
    "title_canon_sha256": "0a48fd340629e03f4bfb77ac3db09ef486e46e32812eea71fb49e08b86e0657e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2209.03060",
    "kind": "arxiv",
    "version": 2
  }
}