Pith Number

pith:4XIFUOHW

pith:2012:4XIFUOHWR4FAG3LFEL6JYC4RHX

not attested not anchored not stored refs pending

Affine Wa(A4), Quaternions, and Decagonal Quasicrystals

Mehmet Koca, Nazife O. Koca, Ramazan Koc

arxiv:1209.1878 v2 · 2012-09-10 · math-ph · cond-mat.other · 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{4XIFUOHWR4FAG3LFEL6JYC4RHX}

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	2026-05-18T02:57:06.904874Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5d05a38f68f0a036d6522fc9c0b913ddf5e5f1c1d1e520adb0ccefcfd8390da

Aliases

arxiv: 1209.1878 · arxiv_version: 1209.1878v2 · doi: 10.48550/arxiv.1209.1878 · pith_short_12: 4XIFUOHWR4FA · pith_short_16: 4XIFUOHWR4FAG3LF · pith_short_8: 4XIFUOHW

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/4XIFUOHWR4FAG3LFEL6JYC4RHX \
  | 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: e5d05a38f68f0a036d6522fc9c0b913ddf5e5f1c1d1e520adb0ccefcfd8390da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd6dc2eb1a96a961fcb21b94974812585e6cdf330ad457f1d11ce6d963e35e6e",
    "cross_cats_sorted": [
      "cond-mat.other",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-09-10T05:34:31Z",
    "title_canon_sha256": "b74e67f8882a64217c38d3927b52b7eb1d57594eb802dc4be5ea830e6e3fc336"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.1878",
    "kind": "arxiv",
    "version": 2
  }
}