Pith Number

pith:XYPBJODO

pith:2012:XYPBJODO357OFVDQKVYD3LOHJF

not attested not anchored not stored refs pending

Sharp distortion growth for bilipschitz extension of planar maps

Leonid V. Kovalev

arxiv:1203.3443 v2 · 2012-03-15 · math.CV · 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{XYPBJODO357OFVDQKVYD3LOHJF}

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	2026-05-18T03:56:44.763755Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be1e14b86edf7ee2d47055703dadc74943e766688db9a6ba7c15f9ce14c80cb8

Aliases

arxiv: 1203.3443 · arxiv_version: 1203.3443v2 · doi: 10.48550/arxiv.1203.3443 · pith_short_12: XYPBJODO357O · pith_short_16: XYPBJODO357OFVDQ · pith_short_8: XYPBJODO

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/XYPBJODO357OFVDQKVYD3LOHJF \
  | 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: be1e14b86edf7ee2d47055703dadc74943e766688db9a6ba7c15f9ce14c80cb8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb53b2d9b1706fbee36f25c7ca65b3a34c8e22adee1fa90fa17d11f6f41c0d4f",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2012-03-15T19:03:49Z",
    "title_canon_sha256": "d75842e5ea2ec39065194a060a6e166e0b56888f8ed2c71dd051164566e078e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.3443",
    "kind": "arxiv",
    "version": 2
  }
}