Pith Number

pith:DO2DGK2M

pith:2012:DO2DGK2MVA65UN5NHXXCSAR5MP

not attested not anchored not stored refs pending

Pre-Schwarzian and Schwarzian derivatives of harmonic mappings

Mar\'ia J. Mart\'in, Rodrigo Hern\'andez

arxiv:1210.2330 v1 · 2012-10-08 · 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{DO2DGK2MVA65UN5NHXXCSAR5MP}

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	2026-05-18T03:43:43.067772Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1bb4332b4ca83dda37ad3dee29023d63cfd9206a93d3a2f36fc45a49ae541d0b

Aliases

arxiv: 1210.2330 · arxiv_version: 1210.2330v1 · doi: 10.48550/arxiv.1210.2330 · pith_short_12: DO2DGK2MVA65 · pith_short_16: DO2DGK2MVA65UN5N · pith_short_8: DO2DGK2M

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/DO2DGK2MVA65UN5NHXXCSAR5MP \
  | 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: 1bb4332b4ca83dda37ad3dee29023d63cfd9206a93d3a2f36fc45a49ae541d0b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a7fd4cf0f17c505a0aace0990a05dc3771682706f94d35701b4ad746686a12c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2012-10-08T16:22:39Z",
    "title_canon_sha256": "18c4d254a71adad714dfbb98bc0ac7567afa86017a69bc942dc1afcb4e1c37dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.2330",
    "kind": "arxiv",
    "version": 1
  }
}