Pith Number

pith:5JFZ4CMQ

pith:2015:5JFZ4CMQTYAHQD6U5GGL2MYUB7

not attested not anchored not stored refs pending

Some problems on optimal approximants

Daniel Seco

arxiv:1510.05459 v1 · 2015-10-19 · math.CA · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5JFZ4CMQTYAHQD6U5GGL2MYUB7}

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	2026-05-18T01:29:52.277587Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea4b9e09909e00780fd4e98cbd33140fc62c3aeef4939ac77e723fcef78e79a3

Aliases

arxiv: 1510.05459 · arxiv_version: 1510.05459v1 · doi: 10.48550/arxiv.1510.05459 · pith_short_12: 5JFZ4CMQTYAH · pith_short_16: 5JFZ4CMQTYAHQD6U · pith_short_8: 5JFZ4CMQ

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/5JFZ4CMQTYAHQD6U5GGL2MYUB7 \
  | 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: ea4b9e09909e00780fd4e98cbd33140fc62c3aeef4939ac77e723fcef78e79a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b6a4532f0166209b2b9e741efd53be71f90451e19922da49464c370523db3c2",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-10-19T13:21:12Z",
    "title_canon_sha256": "95147c6fb0204ff4c4de6dc70b0b202493557c1f542f6fb3a500c332c495bbd3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.05459",
    "kind": "arxiv",
    "version": 1
  }
}