Pith Number

pith:R5BYRJGH

pith:2016:R5BYRJGHEPSYG7TIGJ3IHE3K4V

not attested not anchored not stored refs pending

Homogeneity for a Class of Riemannian Quotient Manifolds

Joseph A. Wolf

arxiv:1609.05576 v1 · 2016-09-19 · 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{R5BYRJGHEPSYG7TIGJ3IHE3K4V}

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	2026-05-18T01:04:25.985641Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f4388a4c723e5837e68327683936ae540d22ad72053db945959fba6ee28aa93

Aliases

arxiv: 1609.05576 · arxiv_version: 1609.05576v1 · doi: 10.48550/arxiv.1609.05576 · pith_short_12: R5BYRJGHEPSY · pith_short_16: R5BYRJGHEPSYG7TI · pith_short_8: R5BYRJGH

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/R5BYRJGHEPSYG7TIGJ3IHE3K4V \
  | 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: 8f4388a4c723e5837e68327683936ae540d22ad72053db945959fba6ee28aa93

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ccd9a2ffb96df813a1630c79fdde94a8ff5dc4a0012e1777eb48d392d50862fe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-09-19T01:22:32Z",
    "title_canon_sha256": "b979b7ba018edd21f8afcb5203f6d69dfd8d129631450ff7735029fa45fc21d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.05576",
    "kind": "arxiv",
    "version": 1
  }
}