Pith Number

pith:O2AG5WPO

pith:2014:O2AG5WPORHHGC2HASHKNAZX2UU

not attested not anchored not stored refs pending

Visibility and directions in quasicrystals

Andreas Str\"ombergsson, Jens Marklof

arxiv:1404.1564 v2 · 2014-04-06 · math.DS · math-ph · math.MG · math.MP · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O2AG5WPORHHGC2HASHKNAZX2UU}

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	2026-05-18T01:34:13.575604Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76806ed9ee89ce6168e091d4d066faa50498540ff08023414fb6f04323fef42e

Aliases

arxiv: 1404.1564 · arxiv_version: 1404.1564v2 · doi: 10.48550/arxiv.1404.1564 · pith_short_12: O2AG5WPORHHG · pith_short_16: O2AG5WPORHHGC2HA · pith_short_8: O2AG5WPO

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/O2AG5WPORHHGC2HASHKNAZX2UU \
  | 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: 76806ed9ee89ce6168e091d4d066faa50498540ff08023414fb6f04323fef42e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2bab27c9ffc9b9030ec640c81d85b7e28d6461d9f7612f49f5712cc3b0612eac",
    "cross_cats_sorted": [
      "math-ph",
      "math.MG",
      "math.MP",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-04-06T11:09:54Z",
    "title_canon_sha256": "6c6eb22cc471d1ff88fd80b5ac0199a3383e835d154338c13a0bcb6446dfe7eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.1564",
    "kind": "arxiv",
    "version": 2
  }
}