Pith Number

pith:G3HMT6P5

pith:2016:G3HMT6P5PAVNUL3JAUZKRLIAQY

not attested not anchored not stored refs pending

The Role of $\alpha$-Scaling for Cartoon Approximation

Martin Sch\"afer

arxiv:1612.01036 v1 · 2016-12-03 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G3HMT6P5PAVNUL3JAUZKRLIAQY}

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	2026-05-18T00:55:53.549608Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36cec9f9fd782ada2f690532a8ad00863b91c6a5306c4ceeda8198ac24e1cfb4

Aliases

arxiv: 1612.01036 · arxiv_version: 1612.01036v1 · doi: 10.48550/arxiv.1612.01036 · pith_short_12: G3HMT6P5PAVN · pith_short_16: G3HMT6P5PAVNUL3J · pith_short_8: G3HMT6P5

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/G3HMT6P5PAVNUL3JAUZKRLIAQY \
  | 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: 36cec9f9fd782ada2f690532a8ad00863b91c6a5306c4ceeda8198ac24e1cfb4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a94eed3e29fdd9869e01de72f85d37b3a99207d107d6485a56f3fa72568a3aa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-12-03T23:41:45Z",
    "title_canon_sha256": "cf2005660e21d88865fc7f691f46f6b6b5bd080189d52b0f00b8e6f2c5f8f287"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.01036",
    "kind": "arxiv",
    "version": 1
  }
}