Pith Number

pith:H77CXTWE

pith:2010:H77CXTWEUKYZXVUE75MD7H5OD7

not attested not anchored not stored refs pending

Systems of dyadic cubes in a doubling metric space

Anna Kairema, Tuomas Hyt\"onen

arxiv:1012.1985 v3 · 2010-12-09 · 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{H77CXTWEUKYZXVUE75MD7H5OD7}

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	2026-05-18T03:37:41.975471Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ffe2bcec4a2b19bd684ff583f9fae1feb87aea34dd4ad42be98c49e1aec66d8

Aliases

arxiv: 1012.1985 · arxiv_version: 1012.1985v3 · doi: 10.48550/arxiv.1012.1985 · pith_short_12: H77CXTWEUKYZ · pith_short_16: H77CXTWEUKYZXVUE · pith_short_8: H77CXTWE

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/H77CXTWEUKYZXVUE75MD7H5OD7 \
  | 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: 3ffe2bcec4a2b19bd684ff583f9fae1feb87aea34dd4ad42be98c49e1aec66d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c99be267674fc3a3b283527b6dca37c1c26f92baeafbe7a3512604b11a7af90",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-12-09T12:03:18Z",
    "title_canon_sha256": "710f456e0a5187d9024445cb67834c92afab19b49d2d99a4e6f21cfe14ff5f09"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.1985",
    "kind": "arxiv",
    "version": 3
  }
}