Pith Number

pith:TVVKJL73

pith:2026:TVVKJL73FGQL7DAWRFATHG6J6B

not attested not anchored not stored refs pending

Infinity-harmonic functions in the plane: Regularity by injectivity

Karl K. Brustad

arxiv:2606.08257 v1 · 2026-06-06 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TVVKJL73FGQL7DAWRFATHG6J6B}

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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.

Cited by

1 paper in Pith

Infinity-harmonic functions and inverse mean curvature flow clusters

Receipt and verification

First computed	2026-06-09T01:05:31.541773Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d6aa4affb29a0bf8c168941339bc9f0718ae1210708c1d9a3483631d23dafd2

Aliases

arxiv: 2606.08257 · arxiv_version: 2606.08257v1 · doi: 10.48550/arxiv.2606.08257 · pith_short_12: TVVKJL73FGQL · pith_short_16: TVVKJL73FGQL7DAW · pith_short_8: TVVKJL73

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/TVVKJL73FGQL7DAWRFATHG6J6B \
  | 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: 9d6aa4affb29a0bf8c168941339bc9f0718ae1210708c1d9a3483631d23dafd2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58e3a3a6fce977a7d0d86af73690592bbbd86889a51e3107fee876065e3fc379",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-06-06T17:01:45Z",
    "title_canon_sha256": "ca91d604e83cdc41d5cc7787b528ea747d19234f075d35848ed0ded85f9c34c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.08257",
    "kind": "arxiv",
    "version": 1
  }
}