Pith Number

pith:DM6WYRZX

pith:2021:DM6WYRZXIOQSQGC2JOYVJ577S4

not attested not anchored not stored refs pending

Dimension of divergence set of the wave equation

Hyerim Ko, Sanghyuk Lee, Seheon Ham

arxiv:2102.12701 v1 · 2021-02-25 · math.AP · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DM6WYRZXIOQSQGC2JOYVJ577S4}

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	2026-07-05T02:18:23.027248Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b3d6c473743a128185a4bb154f7ff9706bd1929e6cc3bfadbce4bd8b86c9394

Aliases

arxiv: 2102.12701 · arxiv_version: 2102.12701v1 · doi: 10.48550/arxiv.2102.12701 · pith_short_12: DM6WYRZXIOQS · pith_short_16: DM6WYRZXIOQSQGC2 · pith_short_8: DM6WYRZX

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/DM6WYRZXIOQSQGC2JOYVJ577S4 \
  | 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: 1b3d6c473743a128185a4bb154f7ff9706bd1929e6cc3bfadbce4bd8b86c9394

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c22c7d15fed816ddee0a8cc02d37aac9679efbe86e9e15e6327cf3a64395a0f9",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2021-02-25T06:14:02Z",
    "title_canon_sha256": "ed39749f2e5cf85c1bd0ef5a5329d3b2f2049d7d5bbc2a3d82521541fef8e6cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2102.12701",
    "kind": "arxiv",
    "version": 1
  }
}