Pith Number

pith:7GPHEQGA

pith:2014:7GPHEQGANY65KUELFJWSKA54FL

not attested not anchored not stored refs pending

Constrained optimization in classes of analytic functions with prescribed pointwise values

Dmitry Ponomarev (APICS), Juliette Leblond (APICS), Laurent Baratchart (APICS)

arxiv:1401.7633 v4 · 2014-01-29 · math.AP · math.CV · math.FA · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7GPHEQGANY65KUELFJWSKA54FL}

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	2026-05-18T01:35:20.808257Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f99e7240c06e3dd5508b2a6d2503bc2af6cff4e0f6a5f59d87f0fa6a6cccd5c7

Aliases

arxiv: 1401.7633 · arxiv_version: 1401.7633v4 · doi: 10.48550/arxiv.1401.7633 · pith_short_12: 7GPHEQGANY65 · pith_short_16: 7GPHEQGANY65KUEL · pith_short_8: 7GPHEQGA

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/7GPHEQGANY65KUELFJWSKA54FL \
  | 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: f99e7240c06e3dd5508b2a6d2503bc2af6cff4e0f6a5f59d87f0fa6a6cccd5c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "711775f49eaa561f3630fbb6fc96abc3b8427c2be6a18724d115c7f33fddfb05",
    "cross_cats_sorted": [
      "math.CV",
      "math.FA",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-01-29T19:34:10Z",
    "title_canon_sha256": "942c98d65f9ac96a499e915271e940d5df5a2cd0e80cd5d0b5c9d684f06ce796"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.7633",
    "kind": "arxiv",
    "version": 4
  }
}