Pith Number

pith:BMH7MXYB

pith:2016:BMH7MXYBXODZHR5VDIGFSNIKOU

not attested not anchored not stored refs pending

Phonon dispersion unfolding in the presence of heavy breaking of spatial translational symmetry

Fawei Zheng, Ping Zhang

arxiv:1602.06655 v2 · 2016-02-22 · cond-mat.mtrl-sci · cond-mat.mes-hall

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BMH7MXYBXODZHR5VDIGFSNIKOU}

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	2026-05-18T01:11:12.720374Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b0ff65f01bb8793c7b51a0c59350a752a5a441c97d3283d2d39981e581953d9

Aliases

arxiv: 1602.06655 · arxiv_version: 1602.06655v2 · doi: 10.48550/arxiv.1602.06655 · pith_short_12: BMH7MXYBXODZ · pith_short_16: BMH7MXYBXODZHR5V · pith_short_8: BMH7MXYB

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/BMH7MXYBXODZHR5VDIGFSNIKOU \
  | 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: 0b0ff65f01bb8793c7b51a0c59350a752a5a441c97d3283d2d39981e581953d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c917a52fd8ed5c394ae8d7c3ea46db848c7c87220c138c0488ffda6c00913d3",
    "cross_cats_sorted": [
      "cond-mat.mes-hall"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.mtrl-sci",
    "submitted_at": "2016-02-22T06:13:02Z",
    "title_canon_sha256": "8896b4e9ae8f812a7ac7aaad7a18b171924c8bbc0e1403629d3f24868be6a6e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.06655",
    "kind": "arxiv",
    "version": 2
  }
}