Pith Number

pith:VXEC3USL

pith:2018:VXEC3USLAQWJMWDHQBQBV5UGKY

not attested not anchored not stored refs pending

Weak regularity of the inverse under minimal assumptions

Aapo Kauranen, Rami Luisto, Stanislav Hencl

arxiv:1804.03449 v2 · 2018-04-10 · math.CA · math.CV · 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{VXEC3USLAQWJMWDHQBQBV5UGKY}

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	2026-05-17T23:45:20.907596Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

adc82dd24b042c96586780601af68656296d348d024058db11ff1c049ab05214

Aliases

arxiv: 1804.03449 · arxiv_version: 1804.03449v2 · doi: 10.48550/arxiv.1804.03449 · pith_short_12: VXEC3USLAQWJ · pith_short_16: VXEC3USLAQWJMWDH · pith_short_8: VXEC3USL

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/VXEC3USLAQWJMWDHQBQBV5UGKY \
  | 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: adc82dd24b042c96586780601af68656296d348d024058db11ff1c049ab05214

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "859ada08ac85cfb27793b58da28d937187e72ee3625dea0b41d95e21f081c3fb",
    "cross_cats_sorted": [
      "math.CV",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-04-10T10:58:38Z",
    "title_canon_sha256": "319b88835696075b97f5a13f675ffaa8c1b4451551a4f2b17dd93df40bb98d82"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.03449",
    "kind": "arxiv",
    "version": 2
  }
}