Pith Number

pith:RQTZU3MU

pith:2015:RQTZU3MUJ4SKGHFHA7JUGNB7VQ

not attested not anchored not stored refs pending

Sobolev Embedding of a Sphere Containing An Arbitrary Cantor Set in the image

Piotr Haj{\l}asz, Xiaodan Zhou

arxiv:1507.05319 v2 · 2015-07-19 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RQTZU3MUJ4SKGHFHA7JUGNB7VQ}

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	2026-05-18T01:20:22.197645Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8c279a6d944f24a31ca707d343343fac36c85dfb21b9f3c66516afa0bbbb3fce

Aliases

arxiv: 1507.05319 · arxiv_version: 1507.05319v2 · doi: 10.48550/arxiv.1507.05319 · pith_short_12: RQTZU3MUJ4SK · pith_short_16: RQTZU3MUJ4SKGHFH · pith_short_8: RQTZU3MU

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/RQTZU3MUJ4SKGHFHA7JUGNB7VQ \
  | 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: 8c279a6d944f24a31ca707d343343fac36c85dfb21b9f3c66516afa0bbbb3fce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a095e7da31268e6d314616ba7db789e6768642e57185bd6e64937bd63c3556f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-07-19T18:47:21Z",
    "title_canon_sha256": "3ee2457d589b857fa684c932c72b4774bc315d3af2fe74416be61ea61699bc71"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.05319",
    "kind": "arxiv",
    "version": 2
  }
}