Pith Number

pith:J33DM4K4

pith:2013:J33DM4K4DEAFDZJGA772Z4EC75

not attested not anchored not stored refs pending

Discrepancy and integration in function spaces with dominating mixed smoothness

Lev Markhasin

arxiv:1307.2114 v2 · 2013-07-08 · math.NA · 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{J33DM4K4DEAFDZJGA772Z4EC75}

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	2026-05-18T02:58:46.005065Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ef636715c190051e52607ffacf082ff4f58e51e2177e772fdf22d4e1682a497

Aliases

arxiv: 1307.2114 · arxiv_version: 1307.2114v2 · doi: 10.48550/arxiv.1307.2114 · pith_short_12: J33DM4K4DEAF · pith_short_16: J33DM4K4DEAFDZJG · pith_short_8: J33DM4K4

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/J33DM4K4DEAFDZJGA772Z4EC75 \
  | 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: 4ef636715c190051e52607ffacf082ff4f58e51e2177e772fdf22d4e1682a497

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "114dd500d374737748be0262412aac1775fb8770b59b381888ec1a53ebb5af05",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2013-07-08T14:54:54Z",
    "title_canon_sha256": "19641ed9956395be5e6414074d97503f7b7d4b12acde6810132d1fddd4ad14a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.2114",
    "kind": "arxiv",
    "version": 2
  }
}