Pith Number

pith:HIZBK4IR

pith:2015:HIZBK4IRFPIKRWGX57DTFZ63BG

not attested not anchored not stored refs pending

Chord-arc curves and the Beurling transform

K. Astala, M.J. Gonz\'alez

arxiv:1502.02181 v1 · 2015-02-07 · math.CA · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HIZBK4IRFPIKRWGX57DTFZ63BG}

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	2026-05-18T01:08:21.366926Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a321571112bd0a8d8d7efc732e7db0988dce949f38a21203a6c8389a3ec47a5

Aliases

arxiv: 1502.02181 · arxiv_version: 1502.02181v1 · doi: 10.48550/arxiv.1502.02181 · pith_short_12: HIZBK4IRFPIK · pith_short_16: HIZBK4IRFPIKRWGX · pith_short_8: HIZBK4IR

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/HIZBK4IRFPIKRWGX57DTFZ63BG \
  | 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: 3a321571112bd0a8d8d7efc732e7db0988dce949f38a21203a6c8389a3ec47a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "183b1fab4acda861ae2aa7f903861ebc43ba9874e4e4b909825c2c95afe46d2f",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-02-07T20:16:25Z",
    "title_canon_sha256": "19f0b7dd0ec4f54ab45eaf5f9021a87e878446f4a998651c5a9b491d88e802e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.02181",
    "kind": "arxiv",
    "version": 1
  }
}