Pith Number

pith:24M3JJIG

pith:2017:24M3JJIGJCZFXXLG2VHHXPWSWA

not attested not anchored not stored refs pending

Invariant and anti-invariant submanifolds of special quasi-sasakian manifolds

Joydeb Roy, Shyamal Kumar Hui

arxiv:1710.09080 v1 · 2017-10-25 · 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{24M3JJIGJCZFXXLG2VHHXPWSWA}

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	2026-05-18T00:32:00.431281Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d719b4a50648b25bdd66d54e7bbed2b00f78066adb57faac576036eb500ed114

Aliases

arxiv: 1710.09080 · arxiv_version: 1710.09080v1 · doi: 10.48550/arxiv.1710.09080 · pith_short_12: 24M3JJIGJCZF · pith_short_16: 24M3JJIGJCZFXXLG · pith_short_8: 24M3JJIG

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/24M3JJIGJCZFXXLG2VHHXPWSWA \
  | 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: d719b4a50648b25bdd66d54e7bbed2b00f78066adb57faac576036eb500ed114

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3570437c3e9446689eec5b502478afd14b3b0a984fae089bd7bd44213494aa76",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-10-25T05:45:22Z",
    "title_canon_sha256": "0e4b457e98a8da9c13826b72385b1391e322ec262ae91bb0bede8e557cb13c83"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.09080",
    "kind": "arxiv",
    "version": 1
  }
}