Pith Number

pith:MMXK4GIC

pith:2011:MMXK4GICWRMKPNNBHDMJMUBQ6Z

not attested not anchored not stored refs pending

Quasihyperbolic geodesics in John domains in R^n

Manzi Huang, Xiantao Wang

arxiv:1104.5128 v1 · 2011-04-27 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MMXK4GICWRMKPNNBHDMJMUBQ6Z}

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	2026-05-18T04:23:22.574062Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

632eae1902b458a7b5a138d8965030f677f9c10583cb169cea62f4591a2d50c3

Aliases

arxiv: 1104.5128 · arxiv_version: 1104.5128v1 · doi: 10.48550/arxiv.1104.5128 · pith_short_12: MMXK4GICWRMK · pith_short_16: MMXK4GICWRMKPNNB · pith_short_8: MMXK4GIC

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/MMXK4GICWRMKPNNBHDMJMUBQ6Z \
  | 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: 632eae1902b458a7b5a138d8965030f677f9c10583cb169cea62f4591a2d50c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "515fbf65f02b95c484f630d1d607eea163a98b2b65e4401c679bc74467bb7052",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-04-27T12:44:38Z",
    "title_canon_sha256": "61ddb2fdb31a001703c41d92139ac7d1c9d0278b1a6585158ba4a66bd8bea827"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.5128",
    "kind": "arxiv",
    "version": 1
  }
}