Pith Number

pith:2OHHOOYK

pith:2012:2OHHOOYKHHQSRRB64U7MA5WGHY

not attested not anchored not stored refs pending

Local Dirichlet forms, Hodge theory, and the Navier-Stokes equations on topologically one-dimensional fractals

Alexander Teplyaev, Michael Hinz

arxiv:1206.6644 v4 · 2012-06-28 · math.FA · math-ph · math.DG · math.MG · math.MP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2OHHOOYKHHQSRRB64U7MA5WGHY}

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	2026-05-18T00:12:11.843345Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d38e773b0a39e128c43ee53ec076c63e1d2fe4af5bf2c42ab0d85c82b3391219

Aliases

arxiv: 1206.6644 · arxiv_version: 1206.6644v4 · doi: 10.48550/arxiv.1206.6644 · pith_short_12: 2OHHOOYKHHQS · pith_short_16: 2OHHOOYKHHQSRRB6 · pith_short_8: 2OHHOOYK

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/2OHHOOYKHHQSRRB64U7MA5WGHY \
  | 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: d38e773b0a39e128c43ee53ec076c63e1d2fe4af5bf2c42ab0d85c82b3391219

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cded81c5761d18c02a3928bcae2156a2d715945f6f2171aa0bad509552563839",
    "cross_cats_sorted": [
      "math-ph",
      "math.DG",
      "math.MG",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-06-28T12:05:37Z",
    "title_canon_sha256": "f5b13e83530ef7c290381b39b2a4298e2499ccee6adc34b23a49131f4dda6066"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.6644",
    "kind": "arxiv",
    "version": 4
  }
}