Pith Number

pith:57NQMZ6O

pith:2013:57NQMZ6OCUVU2HD7J7LPGCPTFA

not attested not anchored not stored refs pending

A Combination of Downward Continuation and Local Approximation for Harmonic Potentials

Christian Gerhards

arxiv:1312.5856 v2 · 2013-12-20 · 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{57NQMZ6OCUVU2HD7J7LPGCPTFA}

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	2026-05-18T01:37:21.641279Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

efdb0667ce152b4d1c7f4fd6f309f3280f09fd4c0bec48f1b6ff99d198a247dd

Aliases

arxiv: 1312.5856 · arxiv_version: 1312.5856v2 · doi: 10.48550/arxiv.1312.5856 · pith_short_12: 57NQMZ6OCUVU · pith_short_16: 57NQMZ6OCUVU2HD7 · pith_short_8: 57NQMZ6O

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/57NQMZ6OCUVU2HD7J7LPGCPTFA \
  | 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: efdb0667ce152b4d1c7f4fd6f309f3280f09fd4c0bec48f1b6ff99d198a247dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02fd0721e91004de79ef97c728601de13c37c4875b59cf98e5b08e47af789496",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2013-12-20T08:56:37Z",
    "title_canon_sha256": "f67d00d4e55e4f2910edd94379c7dc47a98776307a4e80583abc8150cd899c3d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.5856",
    "kind": "arxiv",
    "version": 2
  }
}