Pith Number

pith:MAIWINZS

pith:2010:MAIWINZSUHNLPBZ3OKRI7O56ZN

not attested not anchored not stored refs pending

Exponential Decay of Lebesgue Numbers

Peng Sun

arxiv:1002.0549 v2 · 2010-02-02 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MAIWINZSUHNLPBZ3OKRI7O56ZN}

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	2026-05-18T04:35:06.058120Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6011643732a1dab7873b72a28fbbbecb53d42ed8848e4e9a3b64f1b09076e376

Aliases

arxiv: 1002.0549 · arxiv_version: 1002.0549v2 · doi: 10.48550/arxiv.1002.0549 · pith_short_12: MAIWINZSUHNL · pith_short_16: MAIWINZSUHNLPBZ3 · pith_short_8: MAIWINZS

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/MAIWINZSUHNLPBZ3OKRI7O56ZN \
  | 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: 6011643732a1dab7873b72a28fbbbecb53d42ed8848e4e9a3b64f1b09076e376

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03094e7815662a294197b4e54ca406baa2fd129e680c7c2db971616ff05a0cfc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2010-02-02T20:26:38Z",
    "title_canon_sha256": "e24ef57564aa678cb520f72c6cdf22d8bf6032ecf916017ba86a287f86dd566a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.0549",
    "kind": "arxiv",
    "version": 2
  }
}