Pith Number

pith:YAEAEZPG

pith:2012:YAEAEZPGFXY6GP2CIBSTB3LSGO

not attested not anchored not stored refs pending

The Geometry of Niggli Reduction I: The Boundary Polytopes of the Niggli Cone

Herbert J. Bernstein, Lawrence C. Andrews

arxiv:1203.5146 v4 · 2012-03-22 · math-ph · cond-mat.mtrl-sci · 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{YAEAEZPGFXY6GP2CIBSTB3LSGO}

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	2026-05-18T03:16:19.230704Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0080265e62df1e33f42406530ed7233a3f85eccf9d491b5b7c55dca4c612b38

Aliases

arxiv: 1203.5146 · arxiv_version: 1203.5146v4 · doi: 10.48550/arxiv.1203.5146 · pith_short_12: YAEAEZPGFXY6 · pith_short_16: YAEAEZPGFXY6GP2C · pith_short_8: YAEAEZPG

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/YAEAEZPGFXY6GP2CIBSTB3LSGO \
  | 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: c0080265e62df1e33f42406530ed7233a3f85eccf9d491b5b7c55dca4c612b38

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b79da8c672ad1e725867a59d678aefcc500ec61f2f00d018c81dcc5ef8790419",
    "cross_cats_sorted": [
      "cond-mat.mtrl-sci",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-03-22T23:54:05Z",
    "title_canon_sha256": "6fb30cf18e0094906be5cb90cfe80bf2fa0a29f5db3664bc1ba8ba20a1f3ad41"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.5146",
    "kind": "arxiv",
    "version": 4
  }
}