Pith Number

pith:C3QI4RP7

pith:2020:C3QI4RP7IS42NL4XPOSEYSWDXD

not attested not anchored not stored refs pending

Laplacian Fractional Revival on Graphs

Ada Chan, Bobae Johnson, Hanmeng Zhan, Malena Schmidt, Mengzhen Liu, Zhanghan Yin

arxiv:2010.10413 v1 · 2020-10-20 · math.CO · 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{C3QI4RP7IS42NL4XPOSEYSWDXD}

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	2026-07-05T01:44:30.039992Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16e08e45ff44b9a6af977ba44c4ac3b8c3cd073768e758c6070a9360ff99b2c9

Aliases

arxiv: 2010.10413 · arxiv_version: 2010.10413v1 · doi: 10.48550/arxiv.2010.10413 · pith_short_12: C3QI4RP7IS42 · pith_short_16: C3QI4RP7IS42NL4X · pith_short_8: C3QI4RP7

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/C3QI4RP7IS42NL4XPOSEYSWDXD \
  | 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: 16e08e45ff44b9a6af977ba44c4ac3b8c3cd073768e758c6070a9360ff99b2c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f19869378ab82f1ae0c1d86fb2e260d6544132786664dd88de9fad072eada1f7",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2020-10-20T16:20:59Z",
    "title_canon_sha256": "690abd185c923c6c725cf0dca47a59f5c08a43cce9e68957b8cf524f4b6943d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2010.10413",
    "kind": "arxiv",
    "version": 1
  }
}