Pith Number

pith:72VLXFRP

pith:2013:72VLXFRP37SGQ3ZM5CSU4F42OW

not attested not anchored not stored refs pending

Anti-Invariant Riemannian Submersions from Sasakian Manifolds

C. Murathan, I. K\"upeli Erken

arxiv:1302.4906 v1 · 2013-02-20 · 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{72VLXFRP37SGQ3ZM5CSU4F42OW}

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	2026-05-18T03:33:10.664632Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

feaabb962fdfe4686f2ce8a54e179a758981ff9e58652156ae4fbcd9d3d92248

Aliases

arxiv: 1302.4906 · arxiv_version: 1302.4906v1 · doi: 10.48550/arxiv.1302.4906 · pith_short_12: 72VLXFRP37SG · pith_short_16: 72VLXFRP37SGQ3ZM · pith_short_8: 72VLXFRP

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/72VLXFRP37SGQ3ZM5CSU4F42OW \
  | 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: feaabb962fdfe4686f2ce8a54e179a758981ff9e58652156ae4fbcd9d3d92248

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4163189fbb3830dcffb5fde08e37e71ea78f9cb3c89fcf5c83663f062321cd7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-02-20T14:04:39Z",
    "title_canon_sha256": "6344db373674f15d1df201aa2229adade688eb3a0dd6643702916b4032db1d83"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.4906",
    "kind": "arxiv",
    "version": 1
  }
}