Pith Number

pith:N64ELGQZ

pith:2010:N64ELGQZOPHBSZNILIZLOA34YL

not attested not anchored not stored refs pending

The geometry of the Double Gyroid wire network: Quantum and Classical

Birgit Wehefritz-Kaufmann, Ralph M. Kaufmann, Sergei Khlebnikov

arxiv:1010.1709 v3 · 2010-10-08 · math-ph · 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{N64ELGQZOPHBSZNILIZLOA34YL}

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	2026-05-18T03:39:51.213416Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6fb8459a1973ce1965a85a32b7037cc2f38b35642981aed49823c76baa542144

Aliases

arxiv: 1010.1709 · arxiv_version: 1010.1709v3 · doi: 10.48550/arxiv.1010.1709 · pith_short_12: N64ELGQZOPHB · pith_short_16: N64ELGQZOPHBSZNI · pith_short_8: N64ELGQZ

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/N64ELGQZOPHBSZNILIZLOA34YL \
  | 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: 6fb8459a1973ce1965a85a32b7037cc2f38b35642981aed49823c76baa542144

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84b0f4863030d3f49f8fe6c16a1f278c9ef01349fa3902549bc2f8536cb8f331",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-10-08T14:43:28Z",
    "title_canon_sha256": "b851635b4768dc30781a1e7817f33593416495845210ffa79ef91ea22be80709"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.1709",
    "kind": "arxiv",
    "version": 3
  }
}