Pith Number

pith:3QV5U5UN

pith:2017:3QV5U5UNWLSFGNR6CO4HCWRN4O

not attested not anchored not stored refs pending

Hyperbolic $p$-barycenters, circumcenters, and Moebius maps

Kingshook Biswas

arxiv:1711.02559 v1 · 2017-11-06 · math.DG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3QV5U5UNWLSFGNR6CO4HCWRN4O}

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	2026-05-18T00:31:07.591100Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc2bda768db2e453363e13b8715a2de3a355773f217a069efe84bce696b0fbc1

Aliases

arxiv: 1711.02559 · arxiv_version: 1711.02559v1 · doi: 10.48550/arxiv.1711.02559 · pith_short_12: 3QV5U5UNWLSF · pith_short_16: 3QV5U5UNWLSFGNR6 · pith_short_8: 3QV5U5UN

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/3QV5U5UNWLSFGNR6CO4HCWRN4O \
  | 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: dc2bda768db2e453363e13b8715a2de3a355773f217a069efe84bce696b0fbc1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52f3f7019e1ccc56172410f1c5fab6bb42d291d8aafc2f4151f2e56e3cfdb870",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-11-06T17:37:22Z",
    "title_canon_sha256": "695198ca902245dee1c37e6312a119331cdc98fa7c633f8f7ed1e0b54fefc352"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.02559",
    "kind": "arxiv",
    "version": 1
  }
}