Pith Number

pith:2J3IYDWE

pith:2012:2J3IYDWE4ATOYY6TLTMXZR3Q7C

not attested not anchored not stored refs pending

Some inequalities on hemi-slant product submanifolds in a cosymplectic manifold

Khushwant Singh, S. S. Bhatia

arxiv:1207.2257 v1 · 2012-07-10 · 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{2J3IYDWE4ATOYY6TLTMXZR3Q7C}

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	2026-05-18T03:51:24.581296Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d2768c0ec4e026ec63d35cd97cc770f8b79186df23e668e81006aaef66bd0bd3

Aliases

arxiv: 1207.2257 · arxiv_version: 1207.2257v1 · doi: 10.48550/arxiv.1207.2257 · pith_short_12: 2J3IYDWE4ATO · pith_short_16: 2J3IYDWE4ATOYY6T · pith_short_8: 2J3IYDWE

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/2J3IYDWE4ATOYY6TLTMXZR3Q7C \
  | 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: d2768c0ec4e026ec63d35cd97cc770f8b79186df23e668e81006aaef66bd0bd3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ad140bf707bb977a82d95c2efdb6b06d4063a1536795c00155ee0e57fc0b359",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-07-10T07:56:23Z",
    "title_canon_sha256": "72a429974da1cc9858b2029f8cc5b86469b73b14c6271fc0a71631655f043e2c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.2257",
    "kind": "arxiv",
    "version": 1
  }
}