Pith Number

pith:UYHPVGPK

pith:2012:UYHPVGPKSBIKVSSZDIBDSD7WMZ

not attested not anchored not stored refs pending

Hypersurfaces in hyperbolic space with support function

Jie Qing, Jose Espinar, Vincent Bonini

arxiv:1209.5413 v2 · 2012-09-24 · 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{UYHPVGPKSBIKVSSZDIBDSD7WMZ}

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	2026-05-18T03:39:04.832250Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a60efa99ea9050aaca591a02390ff666763f9a11c9e22adb9162013407da632a

Aliases

arxiv: 1209.5413 · arxiv_version: 1209.5413v2 · doi: 10.48550/arxiv.1209.5413 · pith_short_12: UYHPVGPKSBIK · pith_short_16: UYHPVGPKSBIKVSSZ · pith_short_8: UYHPVGPK

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/UYHPVGPKSBIKVSSZDIBDSD7WMZ \
  | 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: a60efa99ea9050aaca591a02390ff666763f9a11c9e22adb9162013407da632a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46d0954bf8100c77d1581621e2babc83e2d8dea0b4a1c9adba33ae54bd5e349a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-09-24T20:31:01Z",
    "title_canon_sha256": "9f12b0a18f9380a9e33dcce81929368316d400953d2966c8eb3336aff1954f2e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.5413",
    "kind": "arxiv",
    "version": 2
  }
}