Pith Number

pith:L7BCOMBH

pith:2016:L7BCOMBHZY32Q7UJQAYXIVBZGX

not attested not anchored not stored refs pending

Dual flows in hyperbolic space and de Sitter space

Hao Yu

arxiv:1604.02369 v1 · 2016-04-08 · math.DG · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L7BCOMBHZY32Q7UJQAYXIVBZGX}

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.

Cited by

1 paper in Pith

Contraction of hypersurfaces with positive sectional curvature in hyperbolic space

Receipt and verification

First computed	2026-05-18T01:17:26.726309Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5fc2273027ce37a87e89803174543935c59f320a903b1577268216916b9b7be5

Aliases

arxiv: 1604.02369 · arxiv_version: 1604.02369v1 · doi: 10.48550/arxiv.1604.02369 · pith_short_12: L7BCOMBHZY32 · pith_short_16: L7BCOMBHZY32Q7UJ · pith_short_8: L7BCOMBH

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/L7BCOMBHZY32Q7UJQAYXIVBZGX \
  | 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: 5fc2273027ce37a87e89803174543935c59f320a903b1577268216916b9b7be5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa8415586f59d876235c8e0a7c5fb4eb1b2dcdaa64014f09881d02dcb814d5e4",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-04-08T15:13:28Z",
    "title_canon_sha256": "1b05a70942fd961d1dc4e6b6bddbe678b6323d3677f7dc5bde413c3560747d8c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.02369",
    "kind": "arxiv",
    "version": 1
  }
}