Pith Number

pith:CTPSR7WH

pith:2019:CTPSR7WHPAEJORSKI3CA2RD2GG

not attested not anchored not stored refs pending

Minimal Lipschitz and $\infty$-Harmonic Extensions of Vector-Valued Functions on Finite Graphs

Gabriele Steidl, Johannes Hertrich, Miroslav Ba\v{c}\'ak, Sebastian Neumayer

arxiv:1903.04873 v1 · 2019-03-12 · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CTPSR7WHPAEJORSKI3CA2RD2GG}

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	2026-05-17T23:51:28.517826Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14df28fec7780897464a46c40d447a319431a111299d5a912f248fe979bcb890

Aliases

arxiv: 1903.04873 · arxiv_version: 1903.04873v1 · doi: 10.48550/arxiv.1903.04873 · pith_short_12: CTPSR7WHPAEJ · pith_short_16: CTPSR7WHPAEJORSK · pith_short_8: CTPSR7WH

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/CTPSR7WHPAEJORSKI3CA2RD2GG \
  | 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: 14df28fec7780897464a46c40d447a319431a111299d5a912f248fe979bcb890

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64303e8e6dd13e37fdcc2a72a21273679bbbb20863f32fffe195964063357923",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2019-03-12T12:46:32Z",
    "title_canon_sha256": "ea22d41dcd7d09682684bbea9220137590c6cd57cca91f7b4fd52c34d6ddc27b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.04873",
    "kind": "arxiv",
    "version": 1
  }
}