Pith Number

pith:3OXNNWM4

pith:2010:3OXNNWM436S3CNTRPNCUS3CZK7

not attested not anchored not stored refs pending

L^p change of variables inequalities on manifolds

Ari Stern

arxiv:1004.0401 v2 · 2010-04-02 · math.DG · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3OXNNWM436S3CNTRPNCUS3CZK7}

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	2026-05-18T03:35:38.898598Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dbaed6d99cdfa5b136717b45496c5957f2171d73005c0796dea73501f6bec656

Aliases

arxiv: 1004.0401 · arxiv_version: 1004.0401v2 · doi: 10.48550/arxiv.1004.0401 · pith_short_12: 3OXNNWM436S3 · pith_short_16: 3OXNNWM436S3CNTR · pith_short_8: 3OXNNWM4

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/3OXNNWM436S3CNTRPNCUS3CZK7 \
  | 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: dbaed6d99cdfa5b136717b45496c5957f2171d73005c0796dea73501f6bec656

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2313db1b352b4d0a3172bb4f1973828128d9ad613df5443730b3c75958380df6",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-04-02T23:36:53Z",
    "title_canon_sha256": "6c3f11a6b7f1a91374a7074df82584f3a11f82e962cf4b200579cd5d08293ffd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.0401",
    "kind": "arxiv",
    "version": 2
  }
}