Pith Number

pith:WT3ZKQKY

pith:2016:WT3ZKQKY7425GBHR3GC7LUAII7

not attested not anchored not stored refs pending

Riemannian $M$-spaces with homogeneous geodesics

Andreas Arvanitoyeorgos, Guosong Zhao, Yu Wang

arxiv:1610.01278 v4 · 2016-10-05 · 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{WT3ZKQKY7425GBHR3GC7LUAII7}

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	2026-05-18T00:01:53.740048Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4f7954158ff35d304f1d985f5d00847fb2884b4781c8a7242c1cd01b2f96927

Aliases

arxiv: 1610.01278 · arxiv_version: 1610.01278v4 · doi: 10.48550/arxiv.1610.01278 · pith_short_12: WT3ZKQKY7425 · pith_short_16: WT3ZKQKY7425GBHR · pith_short_8: WT3ZKQKY

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/WT3ZKQKY7425GBHR3GC7LUAII7 \
  | 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: b4f7954158ff35d304f1d985f5d00847fb2884b4781c8a7242c1cd01b2f96927

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02a745a41833c34fa898905bf8b1e88b44f9b7036e4d5b2dd673daf23b298b8d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-10-05T06:00:09Z",
    "title_canon_sha256": "29d6a4facbc3adae329a22e485574e3720d9f6eb3b1971b55878ba44f7daaa6f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.01278",
    "kind": "arxiv",
    "version": 4
  }
}