Pith Number

pith:GCRDRSGR

pith:2012:GCRDRSGRDHDBTGUEMLJZL7HL3G

not attested not anchored not stored refs pending

Fully Starlike and Convex Harmonic Mappings of order \alpha

Sumit Nagpal, V. Ravichandran

arxiv:1207.3946 v1 · 2012-07-17 · 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{GCRDRSGRDHDBTGUEMLJZL7HL3G}

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	2026-05-18T03:50:49.397144Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30a238c8d119c6199a8462d395fcebd9a870420e760702acba83ba6ca98acf6a

Aliases

arxiv: 1207.3946 · arxiv_version: 1207.3946v1 · doi: 10.48550/arxiv.1207.3946 · pith_short_12: GCRDRSGRDHDB · pith_short_16: GCRDRSGRDHDBTGUE · pith_short_8: GCRDRSGR

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/GCRDRSGRDHDBTGUEMLJZL7HL3G \
  | 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: 30a238c8d119c6199a8462d395fcebd9a870420e760702acba83ba6ca98acf6a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b56867a0a95f1f0a97f37ae64b24b80f66016d61ab19e0f63d12439c9654c9a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2012-07-17T11:18:17Z",
    "title_canon_sha256": "f3f555a58fbc132acd9d883b6218a610b4b1ebb0764e0839ce7925ce4546b759"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.3946",
    "kind": "arxiv",
    "version": 1
  }
}