Pith Number

pith:4J6EC6CW

pith:2012:4J6EC6CWY3QUBVCTWU7ZSU72DO

not attested not anchored not stored refs pending

Construction of subclasses of univalent harmonic mappings

Sumit Nagpal, V. Ravichandran

arxiv:1209.0075 v1 · 2012-09-01 · 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{4J6EC6CWY3QUBVCTWU7ZSU72DO}

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	2026-05-18T03:46:30.086667Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e27c417856c6e140d453b53f9953fa1bb73ca07b9771afe2da520da2652900ac

Aliases

arxiv: 1209.0075 · arxiv_version: 1209.0075v1 · doi: 10.48550/arxiv.1209.0075 · pith_short_12: 4J6EC6CWY3QU · pith_short_16: 4J6EC6CWY3QUBVCT · pith_short_8: 4J6EC6CW

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/4J6EC6CWY3QUBVCTWU7ZSU72DO \
  | 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: e27c417856c6e140d453b53f9953fa1bb73ca07b9771afe2da520da2652900ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3335bf314a2c27cea15f7a64f891c56f67a083ecc77d6addf21655e76f4a4a44",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2012-09-01T09:57:43Z",
    "title_canon_sha256": "4036afb7c36ee81cf321f0785cf213f78603c0c1d78c52e47aae08069154ffdd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.0075",
    "kind": "arxiv",
    "version": 1
  }
}