Pith Number

pith:36PCQRNG

pith:2021:36PCQRNGC27R6VHKLPNNP3WQA3

not attested not anchored not stored refs pending

Reply to Comment on "Discrete Time Crystals: Rigidity Criticality and Realizations"

Andrew C. Potter, Ashvin Vishwanath, Ionut-Dragos Potirniche, Norman Y. Yao

arxiv:2109.07485 v1 · 2021-09-15 · cond-mat.dis-nn · cond-mat.quant-gas · cond-mat.str-el · 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{36PCQRNGC27R6VHKLPNNP3WQA3}

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	2026-07-05T03:14:57.748258Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df9e2845a616bf1f54ea5bdad7eed006fe80ea63a79fc1fe25dcbdf8b9a83d5a

Aliases

arxiv: 2109.07485 · arxiv_version: 2109.07485v1 · doi: 10.48550/arxiv.2109.07485 · pith_short_12: 36PCQRNGC27R · pith_short_16: 36PCQRNGC27R6VHK · pith_short_8: 36PCQRNG

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/36PCQRNGC27R6VHKLPNNP3WQA3 \
  | 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: df9e2845a616bf1f54ea5bdad7eed006fe80ea63a79fc1fe25dcbdf8b9a83d5a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cda568a3c269ef64b1d2de19d6c804c77e9145063771bcbc8c6a2a7445a5c2fd",
    "cross_cats_sorted": [
      "cond-mat.quant-gas",
      "cond-mat.str-el",
      "quant-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2021-09-15T18:00:02Z",
    "title_canon_sha256": "b04c8d7e22e24270ddafd83663ac9471bbcdd894ba95b7670f75d6caf839640a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.07485",
    "kind": "arxiv",
    "version": 1
  }
}