Pith Number

pith:Q4HBIY7W

pith:2015:Q4HBIY7WO7CIJVPXFEC2O6YK5J

not attested not anchored not stored refs pending

On the Numerical Approximation of $\infty$-Harmonic Mappings

Nikos Katzourakis, Tristan Pryer (Reading, UK)

arxiv:1511.01308 v2 · 2015-11-04 · math.AP · 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{Q4HBIY7WO7CIJVPXFEC2O6YK5J}

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	2026-05-18T01:27:45.447943Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

870e1463f677c484d5f72905a77b0aea50348ed33ab5d08fe27491d270197267

Aliases

arxiv: 1511.01308 · arxiv_version: 1511.01308v2 · doi: 10.48550/arxiv.1511.01308 · pith_short_12: Q4HBIY7WO7CI · pith_short_16: Q4HBIY7WO7CIJVPX · pith_short_8: Q4HBIY7W

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/Q4HBIY7WO7CIJVPXFEC2O6YK5J \
  | 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: 870e1463f677c484d5f72905a77b0aea50348ed33ab5d08fe27491d270197267

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d35a7d698882d7aac66a93cf8b5739418a15a0aad7f72dbcd9d3fcb995e4078",
    "cross_cats_sorted": [
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-11-04T12:42:23Z",
    "title_canon_sha256": "10cd4d88b6acafda1e197d8a4a3e9cc8bb6b619ee84baf7b2488a2719f89d730"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.01308",
    "kind": "arxiv",
    "version": 2
  }
}