Pith Number

pith:VES7I2MC

pith:2018:VES7I2MC66Q4CZSRTYP65SJ3SE

not attested not anchored not stored refs pending

Sharp Remez inequality

P. Yuditskii, S. Tikhonov

arxiv:1809.09726 v2 · 2018-09-25 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VES7I2MC66Q4CZSRTYP65SJ3SE}

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	2026-05-18T00:02:44.247630Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a925f46982f7a1c166519e1feec93b91320197a2979560c5ab54a6a4ff998828

Aliases

arxiv: 1809.09726 · arxiv_version: 1809.09726v2 · doi: 10.48550/arxiv.1809.09726 · pith_short_12: VES7I2MC66Q4 · pith_short_16: VES7I2MC66Q4CZSR · pith_short_8: VES7I2MC

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/VES7I2MC66Q4CZSRTYP65SJ3SE \
  | 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: a925f46982f7a1c166519e1feec93b91320197a2979560c5ab54a6a4ff998828

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2678b6d20d9919b9af583cee21573c564046ec322654464d0d60732395b0280c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-09-25T21:11:52Z",
    "title_canon_sha256": "c30fe3eefef6f5d552f1e5904d9454bcd7fcb6012fe258f0cfb4e4a53f4faecb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.09726",
    "kind": "arxiv",
    "version": 2
  }
}