Pith Number

pith:72O2Q3ET

pith:2017:72O2Q3ETRBE4UERXOGKXSDTZRU

not attested not anchored not stored refs pending

On the sharp constant in "magnetic" 1D embedding theorem

A.I. Nazarov, A.P. Scheglova

arxiv:1712.08829 v1 · 2017-12-23 · 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{72O2Q3ETRBE4UERXOGKXSDTZRU}

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	2026-05-18T00:19:22.140869Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe9da86c938849ca12377195790e798d1db5ad854408faef8c03e5df80aea6ff

Aliases

arxiv: 1712.08829 · arxiv_version: 1712.08829v1 · doi: 10.48550/arxiv.1712.08829 · pith_short_12: 72O2Q3ETRBE4 · pith_short_16: 72O2Q3ETRBE4UERX · pith_short_8: 72O2Q3ET

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/72O2Q3ETRBE4UERXOGKXSDTZRU \
  | 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: fe9da86c938849ca12377195790e798d1db5ad854408faef8c03e5df80aea6ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "490249bedcec921d3a7c34db2422fdf1b8c7baea1879ec2e87301c0bd45a40cb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-12-23T20:04:42Z",
    "title_canon_sha256": "1b57566ac4ba479d3ceb1f9e190a5f99e8563d8d1c7182156e36aaa91f40b6b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.08829",
    "kind": "arxiv",
    "version": 1
  }
}