Pith Number

pith:DMYSHRTM

pith:2012:DMYSHRTMUVAII72XGLFFK3TWQK

not attested not anchored not stored refs pending

Sharp constants for composition with a bi-Lipschitz measure-preserving map

Frederic Bernicot (LMJL), Sahbi Keraani (LPP)

arxiv:1204.6008 v1 · 2012-04-26 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DMYSHRTMUVAII72XGLFFK3TWQK}

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	2026-05-18T03:56:58.724983Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b3123c66ca540847f5732ca556e7682b8b147cab438fb21a8d05b5beb5451b1

Aliases

arxiv: 1204.6008 · arxiv_version: 1204.6008v1 · doi: 10.48550/arxiv.1204.6008 · pith_short_12: DMYSHRTMUVAI · pith_short_16: DMYSHRTMUVAII72X · pith_short_8: DMYSHRTM

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/DMYSHRTMUVAII72XGLFFK3TWQK \
  | 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: 1b3123c66ca540847f5732ca556e7682b8b147cab438fb21a8d05b5beb5451b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ce53f5427d6760037c4b632018f1c4449bff4bfee132b8fb78be031f9bbcd4f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-04-26T19:05:50Z",
    "title_canon_sha256": "5682badbd6ee1300f66ab0323bc12e8ba2347ee93c8303f8aa6e4d61bb8a36d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.6008",
    "kind": "arxiv",
    "version": 1
  }
}