Pith Number

pith:XT6AQETE

pith:2012:XT6AQETEX32NGWA75QS2GGA7VX

not attested not anchored not stored refs pending

Relations Between Some Classes Of Functions Of Generalized Bounded Variation

Amiran Gogatishvili, George Tephnadze, Ushangi Goginava

arxiv:1210.2057 v2 · 2012-10-07 · math.FA · math.AP · 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{XT6AQETEX32NGWA75QS2GGA7VX}

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	2026-05-18T03:21:54.064044Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bcfc081264bef4d3581fec25a3181fadff2968bbd420db9c8bcc4bc71c0dac88

Aliases

arxiv: 1210.2057 · arxiv_version: 1210.2057v2 · doi: 10.48550/arxiv.1210.2057 · pith_short_12: XT6AQETEX32N · pith_short_16: XT6AQETEX32NGWA7 · pith_short_8: XT6AQETE

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/XT6AQETEX32NGWA75QS2GGA7VX \
  | 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: bcfc081264bef4d3581fec25a3181fadff2968bbd420db9c8bcc4bc71c0dac88

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0d06ddd892c5daa99cf51ef6af38db173f2e0b7a05862719ae844b845d795c1",
    "cross_cats_sorted": [
      "math.AP",
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-10-07T13:47:52Z",
    "title_canon_sha256": "42d34e9c14a263ad131c5d61d09e1c1180d61629268d45c8ff538252f8116f8f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.2057",
    "kind": "arxiv",
    "version": 2
  }
}