Pith Number

pith:2DYF5WIJ

pith:2015:2DYF5WIJPKWJRLEAEKN6RTHT7U

not attested not anchored not stored refs pending

A new approach to Sobolev spaces in metric measure spaces

Tomas Sj\"odin

arxiv:1504.07778 v2 · 2015-04-29 · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2DYF5WIJPKWJRLEAEKN6RTHT7U}

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	2026-05-18T00:50:57.842554Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d0f05ed9097aac98ac80229be8ccf3fd3bc08bd9732ec95598a497a0873dadc6

Aliases

arxiv: 1504.07778 · arxiv_version: 1504.07778v2 · doi: 10.48550/arxiv.1504.07778 · pith_short_12: 2DYF5WIJPKWJ · pith_short_16: 2DYF5WIJPKWJRLEA · pith_short_8: 2DYF5WIJ

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/2DYF5WIJPKWJRLEAEKN6RTHT7U \
  | 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: d0f05ed9097aac98ac80229be8ccf3fd3bc08bd9732ec95598a497a0873dadc6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d252a0b441250faf8b034288a9f7ebee76111b3e5b5933c1a5068156a131129a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-04-29T09:03:34Z",
    "title_canon_sha256": "22d511cc0bc12c86abe24d1ced03428f6c280d91e94e6b3012f3d9029e275de6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.07778",
    "kind": "arxiv",
    "version": 2
  }
}