Pith Number

pith:MBNU6I2N

pith:2015:MBNU6I2NVHFZ2PJOVXZ6IQQYGC

not attested not anchored not stored refs pending

Nambu-Goldstone Modes Propagating along Topological Defects: Kelvin and Ripple Modes from Small to Large Systems

Daisuke A. Takahashi, Michikazu Kobayashi, Muneto Nitta

arxiv:1501.01874 v3 · 2015-01-08 · cond-mat.other · cond-mat.quant-gas · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MBNU6I2NVHFZ2PJOVXZ6IQQYGC}

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	2026-05-18T02:17:00.655219Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

605b4f234da9cb9d3d2eadf3e4421830baa76d12e87d4b04ebeaec47f258111b

Aliases

arxiv: 1501.01874 · arxiv_version: 1501.01874v3 · doi: 10.48550/arxiv.1501.01874 · pith_short_12: MBNU6I2NVHFZ · pith_short_16: MBNU6I2NVHFZ2PJO · pith_short_8: MBNU6I2N

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/MBNU6I2NVHFZ2PJOVXZ6IQQYGC \
  | 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: 605b4f234da9cb9d3d2eadf3e4421830baa76d12e87d4b04ebeaec47f258111b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae444ee5591e5453830823d638ee537049efe05e0312faac119247d3cca3b216",
    "cross_cats_sorted": [
      "cond-mat.quant-gas",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.other",
    "submitted_at": "2015-01-08T15:04:50Z",
    "title_canon_sha256": "3e8cf1f65d4fbfcaae54aee03c3647cca95fd69ee43feb57272c7cf4d417ac2a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.01874",
    "kind": "arxiv",
    "version": 3
  }
}