Pith Number

pith:ZA3F5XMC

pith:2016:ZA3F5XMCDWEBK2BBYVVFJJL26R

not attested not anchored not stored refs pending

Discrete Translates in Function Spaces

Alexander Olevskii, Alexander Ulanovskii

arxiv:1612.00811 v2 · 2016-12-02 · 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{ZA3F5XMCDWEBK2BBYVVFJJL26R}

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	2026-05-18T00:15:24.703382Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8365edd821d88156821c56a54a57af44749e87a3d56a7e7a4ed52870247da13

Aliases

arxiv: 1612.00811 · arxiv_version: 1612.00811v2 · doi: 10.48550/arxiv.1612.00811 · pith_short_12: ZA3F5XMCDWEB · pith_short_16: ZA3F5XMCDWEBK2BB · pith_short_8: ZA3F5XMC

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/ZA3F5XMCDWEBK2BBYVVFJJL26R \
  | 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: c8365edd821d88156821c56a54a57af44749e87a3d56a7e7a4ed52870247da13

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d1386e33e254e0e8c4b73d8eeaf75d9b5cfcd28130b1bb4b80f4595a41c6a8d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-12-02T19:55:18Z",
    "title_canon_sha256": "e6abd3ca222cae7eb2a49edb4f2ff93d7ece8cad50d8345a0f354fc77d1b431e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.00811",
    "kind": "arxiv",
    "version": 2
  }
}