Pith Number

pith:WICOFAC7

pith:2021:WICOFAC7MEJ3CL46TTR26NQ3D2

not attested not anchored not stored refs pending

Automorphic Bloch theorems for hyperbolic lattices

Joseph Maciejko, Steven Rayan

arxiv:2108.09314 v2 · 2021-08-20 · cond-mat.mes-hall · hep-th · math-ph · math.AG · math.MP · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WICOFAC7MEJ3CL46TTR26NQ3D2}

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	2026-07-05T04:00:17.048211Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b204e2805f6113b12f9e9ce3af361b1e8c37a02f5afdd10b7c3508968ec8b5f9

Aliases

arxiv: 2108.09314 · arxiv_version: 2108.09314v2 · doi: 10.48550/arxiv.2108.09314 · pith_short_12: WICOFAC7MEJ3 · pith_short_16: WICOFAC7MEJ3CL46 · pith_short_8: WICOFAC7

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/WICOFAC7MEJ3CL46TTR26NQ3D2 \
  | 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: b204e2805f6113b12f9e9ce3af361b1e8c37a02f5afdd10b7c3508968ec8b5f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67f05eb9a9ff9f6f5b495fb965b1b343da8f03b717977f73a25a516e2f5082ea",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.AG",
      "math.MP",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.mes-hall",
    "submitted_at": "2021-08-20T18:00:03Z",
    "title_canon_sha256": "0a38aae675c1264fd284478dd578b02fd86179c9239ea8b2e1befcd873372f00"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.09314",
    "kind": "arxiv",
    "version": 2
  }
}