Pith Number

pith:2MJEWFOP

pith:2020:2MJEWFOP5L5PNGOEYIFD7IAA7X

not attested not anchored not stored refs pending

Unified Theory of Quantum Crystalline Symmetries

L. B. Shao, Y. X. Zhao

arxiv:2009.07483 v1 · 2020-09-16 · math-ph · cond-mat.mes-hall · cond-mat.other · cond-mat.str-el · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2MJEWFOP5L5PNGOEYIFD7IAA7X}

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	2026-07-05T01:35:53.087558Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3124b15cfeafaf699c4c20a3fa000fddbfd65e9976289edeb8313d8d5149162

Aliases

arxiv: 2009.07483 · arxiv_version: 2009.07483v1 · doi: 10.48550/arxiv.2009.07483 · pith_short_12: 2MJEWFOP5L5P · pith_short_16: 2MJEWFOP5L5PNGOE · pith_short_8: 2MJEWFOP

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/2MJEWFOP5L5PNGOEYIFD7IAA7X \
  | 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: d3124b15cfeafaf699c4c20a3fa000fddbfd65e9976289edeb8313d8d5149162

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65d960f15b0921c70c7296c2253a6d4c4784f5b501ed51de6aabb9eaad89226f",
    "cross_cats_sorted": [
      "cond-mat.mes-hall",
      "cond-mat.other",
      "cond-mat.str-el",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2020-09-16T06:03:46Z",
    "title_canon_sha256": "af41cfb8aaf7b1fb47890a2741dd396b8c597c7b254be7758945b1fa9cb2bbf5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2009.07483",
    "kind": "arxiv",
    "version": 1
  }
}