Pith Number

pith:D7MDSIS5

pith:2010:D7MDSIS5TCZGEC27VHSE5RHZVT

not attested not anchored not stored refs pending

Quantitative Isoperimetric Inequalities on the Real Line

Yohann de Castro (IMT)

arxiv:1011.3995 v3 · 2010-11-17 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D7MDSIS5TCZGEC27VHSE5RHZVT}

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	2026-05-18T04:26:02.321029Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1fd839225d98b2620b5fa9e44ec4f9acc396f4ecd62a9fa4c7474ae7a0d71f29

Aliases

arxiv: 1011.3995 · arxiv_version: 1011.3995v3 · doi: 10.48550/arxiv.1011.3995 · pith_short_12: D7MDSIS5TCZG · pith_short_16: D7MDSIS5TCZGEC27 · pith_short_8: D7MDSIS5

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/D7MDSIS5TCZGEC27VHSE5RHZVT \
  | 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: 1fd839225d98b2620b5fa9e44ec4f9acc396f4ecd62a9fa4c7474ae7a0d71f29

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "560e9bb0c0f61e8f47f54e8a57f59858526e2d233eef8e98a9c6531c3d70b3bd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-11-17T16:34:19Z",
    "title_canon_sha256": "fbd3289876598ff90d17b7b49826fbaef620974e305eb38c166cc2a5750dc053"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.3995",
    "kind": "arxiv",
    "version": 3
  }
}