pith. sign in
Pith Number

pith:POYP2XUB

pith:2012:POYP2XUBZSVTQDK3JANJIQLAYS
not attested not anchored not stored refs pending

({\kappa},{\mu},\u{psion}=const.)-Contact Metric Manifolds With {\xi}(I_{M})=0

Cengizhan Murathan, \.Irem K\"upeli Erken

arxiv:1206.2678 v1 · 2012-06-12 · math.DG

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{POYP2XUBZSVTQDK3JANJIQLAYS}

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 2026-05-18T03:53:43.346558Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

7bb0fd5e81ccab380d5b481a944160c487c20ec1c9bdfdf450f6d27e61daeca8

Aliases

arxiv: 1206.2678 · arxiv_version: 1206.2678v1 · doi: 10.48550/arxiv.1206.2678 · pith_short_12: POYP2XUBZSVT · pith_short_16: POYP2XUBZSVTQDK3 · pith_short_8: POYP2XUB
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/POYP2XUBZSVTQDK3JANJIQLAYS \
  | 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: 7bb0fd5e81ccab380d5b481a944160c487c20ec1c9bdfdf450f6d27e61daeca8
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "4f108231e4e2d339222f6571306216396138ef6ac4eaa0bdc802870c3f5ce7d9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-06-12T21:47:51Z",
    "title_canon_sha256": "6531d77ca8ba494d63e4e01b0553dfb5f00de5cc5d94f9fba6e4d24758288763"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.2678",
    "kind": "arxiv",
    "version": 1
  }
}