Pith Number

pith:3IMRK5LD

pith:2010:3IMRK5LDPATNYTSZQVXVY7NGQM

not attested not anchored not stored refs pending

Curvature Bounds for Neighborhoods of Self-Similar Sets

Steffen Winter

arxiv:1010.2032 v1 · 2010-10-11 · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3IMRK5LDPATNYTSZQVXVY7NGQM}

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	2026-05-18T04:39:29.856861Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da191575637826dc4e59856f5c7da6830deddc514abc8c880dc780d0247ae05b

Aliases

arxiv: 1010.2032 · arxiv_version: 1010.2032v1 · doi: 10.48550/arxiv.1010.2032 · pith_short_12: 3IMRK5LDPATN · pith_short_16: 3IMRK5LDPATNYTSZ · pith_short_8: 3IMRK5LD

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/3IMRK5LDPATNYTSZQVXVY7NGQM \
  | 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: da191575637826dc4e59856f5c7da6830deddc514abc8c880dc780d0247ae05b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe1f515e8b3f6a00ec0cd7fae238b1b113dcd437d7f6ca2533cf1ea117912315",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2010-10-11T08:13:48Z",
    "title_canon_sha256": "154bd2791df3fe872f2b9b807a022b4adaa3737d8db20ddedcbf481eeb204a13"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.2032",
    "kind": "arxiv",
    "version": 1
  }
}