Pith Number

pith:QQAXB6UJ

pith:2015:QQAXB6UJTT3DUIS5QOPCFLQKQG

not attested not anchored not stored refs pending

A New Characterisation of $\infty$-Harmonic and $p$-Harmonic Maps via Affine Variations in $L^\infty$

Nikos Katzourakis (Reading, UK)

arxiv:1509.01811 v4 · 2015-09-06 · 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{QQAXB6UJTT3DUIS5QOPCFLQKQG}

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	2026-05-18T00:50:01.884821Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

840170fa899cf63a225d839e22ae0a81a22bc543475d965e5b3394876a4d3aca

Aliases

arxiv: 1509.01811 · arxiv_version: 1509.01811v4 · doi: 10.48550/arxiv.1509.01811 · pith_short_12: QQAXB6UJTT3D · pith_short_16: QQAXB6UJTT3DUIS5 · pith_short_8: QQAXB6UJ

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/QQAXB6UJTT3DUIS5QOPCFLQKQG \
  | 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: 840170fa899cf63a225d839e22ae0a81a22bc543475d965e5b3394876a4d3aca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8337d4598f6878d397d1da3b6b6c2e595521f6d062e2432e3b305cfc07769292",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-09-06T13:30:17Z",
    "title_canon_sha256": "334ae751742af233ba695a9b1c6582d8e9f83cac6030734207259bbbf4016596"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.01811",
    "kind": "arxiv",
    "version": 4
  }
}