Pith Number

pith:APS4OARN

pith:2012:APS4OARN6RUHITAS3EBK4TKYHG

not attested not anchored not stored refs pending

Univalent harmonic mappings with integer or half-integer coefficients

J. Qiao, S. Ponnusamy

arxiv:1207.3768 v1 · 2012-07-12 · 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{APS4OARN6RUHITAS3EBK4TKYHG}

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	2026-05-18T03:50:59.552621Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03e5c7022df468744c12d902ae4d5839aa94d3e9c521266e9b948f3f835fb6e5

Aliases

arxiv: 1207.3768 · arxiv_version: 1207.3768v1 · doi: 10.48550/arxiv.1207.3768 · pith_short_12: APS4OARN6RUH · pith_short_16: APS4OARN6RUHITAS · pith_short_8: APS4OARN

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/APS4OARN6RUHITAS3EBK4TKYHG \
  | 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: 03e5c7022df468744c12d902ae4d5839aa94d3e9c521266e9b948f3f835fb6e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ffefea3a332a9b3b3a49efff62ba4c4a301d3335e6f8a6f5ea2a83c69199da5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2012-07-12T05:31:51Z",
    "title_canon_sha256": "ee3f5c2ab4661a4e357caa4b3887e272dcab3d1d0a64bf80c2f39a9db0e60355"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.3768",
    "kind": "arxiv",
    "version": 1
  }
}