Pith Number

pith:NSNU5ZZL

pith:1997:NSNU5ZZL4BYM7VA5WWNL5NJDDJ

not attested not anchored not stored refs pending

Vortex Dynamics, Resistivity Formula, and Fluctuation-dissipation Theorems

P. Ao (Umea University), X.-M. Zhu

arxiv:cond-mat/9709311 v2 · 1997-09-29 · cond-mat

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NSNU5ZZL4BYM7VA5WWNL5NJDDJ}

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	2026-05-18T01:07:07.808654Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c9b4ee72be070cfd41db59abeb5231a77fc6fe51615502a1a439584db12d11a

Aliases

arxiv: cond-mat/9709311 · arxiv_version: cond-mat/9709311v2 · doi: 10.48550/arxiv.cond-mat/9709311 · pith_short_12: NSNU5ZZL4BYM · pith_short_16: NSNU5ZZL4BYM7VA5 · pith_short_8: NSNU5ZZL

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/NSNU5ZZL4BYM7VA5WWNL5NJDDJ \
  | 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: 6c9b4ee72be070cfd41db59abeb5231a77fc6fe51615502a1a439584db12d11a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb7c7ea9c563d61b4f6b7131c49032aa953ae20866043d76c53b7ae5d7c55a3d",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "cond-mat",
    "submitted_at": "1997-09-29T09:24:25Z",
    "title_canon_sha256": "1d74329567db8be18cf0469105e0eb71a905bf1929b225ed9a645992d8d06f9c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/9709311",
    "kind": "arxiv",
    "version": 2
  }
}