Pith Number

pith:KH5K6GFP

pith:2016:KH5K6GFPT7BTCSN55KGL7VKCL5

not attested not anchored not stored refs pending

Mityagin's Extension Problem. Progress Report

Alexander Goncharov, Zeliha Ural

arxiv:1606.08606 v1 · 2016-06-28 · math.FA · 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{KH5K6GFPT7BTCSN55KGL7VKCL5}

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	2026-05-18T01:11:47.387484Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51faaf18af9fc33149bdea8cbfd5425f6f837e944df8c34ad0186048589c990e

Aliases

arxiv: 1606.08606 · arxiv_version: 1606.08606v1 · doi: 10.48550/arxiv.1606.08606 · pith_short_12: KH5K6GFPT7BT · pith_short_16: KH5K6GFPT7BTCSN5 · pith_short_8: KH5K6GFP

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/KH5K6GFPT7BTCSN55KGL7VKCL5 \
  | 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: 51faaf18af9fc33149bdea8cbfd5425f6f837e944df8c34ad0186048589c990e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6109a767a8c9ca5f300040cd0ba86af78c7f6d37b4a20bf5ed3432f5c8a01e33",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-06-28T08:32:20Z",
    "title_canon_sha256": "acac690ee38fc8fb0a14b41af6254eecd3a017a87273b37ad0a2467f254e1b07"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.08606",
    "kind": "arxiv",
    "version": 1
  }
}