Pith Number

pith:Q2DZ7Y42

pith:2010:Q2DZ7Y42TMYMYHJKF3CHHE7322

not attested not anchored not stored refs pending

Spectral Properties of Grain Boundaries at Small Angles of Rotation

Martin Kohlmann, Rainer Hempel

arxiv:1009.4039 v2 · 2010-09-21 · math-ph · math.MP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q2DZ7Y42TMYMYHJKF3CHHE7322}

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	2026-05-18T04:15:04.359745Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86879fe39a9b30cc1d2a2ec47393fbd6ab0b63175a6abc04625aaab45a9f622f

Aliases

arxiv: 1009.4039 · arxiv_version: 1009.4039v2 · doi: 10.48550/arxiv.1009.4039 · pith_short_12: Q2DZ7Y42TMYM · pith_short_16: Q2DZ7Y42TMYMYHJK · pith_short_8: Q2DZ7Y42

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/Q2DZ7Y42TMYMYHJKF3CHHE7322 \
  | 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: 86879fe39a9b30cc1d2a2ec47393fbd6ab0b63175a6abc04625aaab45a9f622f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53fd85a8d7510da59915575ee3c4e52bb7f2f8b2befc46e82bbf4e990968645e",
    "cross_cats_sorted": [
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-09-21T10:12:34Z",
    "title_canon_sha256": "213c09fd4f2c64e61d9932ad4552633e6f4aa45ca097aa3a3256ab870156a299"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.4039",
    "kind": "arxiv",
    "version": 2
  }
}