Pith Number

pith:GRBBP3KB

pith:2017:GRBBP3KBG5IV4OLSXVD46KKXYT

not attested not anchored not stored refs pending

Directional convexity of harmonic mappings

Subzar Beig, V. Ravichandran

arxiv:1703.03593 v1 · 2017-03-10 · 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{GRBBP3KBG5IV4OLSXVD46KKXYT}

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	2026-05-18T00:48:58.627849Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

344217ed4137515e3972bd47cf2957c4d6c1b89e6b7904695b589cfc02697c4b

Aliases

arxiv: 1703.03593 · arxiv_version: 1703.03593v1 · doi: 10.48550/arxiv.1703.03593 · pith_short_12: GRBBP3KBG5IV · pith_short_16: GRBBP3KBG5IV4OLS · pith_short_8: GRBBP3KB

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/GRBBP3KBG5IV4OLSXVD46KKXYT \
  | 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: 344217ed4137515e3972bd47cf2957c4d6c1b89e6b7904695b589cfc02697c4b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb1a36888c2f2fc18c72cc7ba302137552b7677377bd55cf5436a85f28bd58cf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2017-03-10T09:32:02Z",
    "title_canon_sha256": "2a6b3f4aa00d7f9798496af0c8e8da9772c3a422b59e170ed4d500ce7fe1fe27"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.03593",
    "kind": "arxiv",
    "version": 1
  }
}