pith. sign in
Pith Number

pith:VNAHTBL4

pith:2018:VNAHTBL42D7X5VWUCALLHKRF3D
not attested not anchored not stored refs pending

Rectifying curves on a smooth surface immersed in the euclidean space

Absos Ali Shaikh, Pinaki Ranjan Ghosh

arxiv:1808.03270 v1 · 2018-08-09 · math.GM

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{VNAHTBL42D7X5VWUCALLHKRF3D}

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 2026-05-18T00:08:27.787389Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

ab4079857cd0ff7ed6d41016b3aa25d8d79e6f04d0b44c39de9474078e28d165

Aliases

arxiv: 1808.03270 · arxiv_version: 1808.03270v1 · doi: 10.48550/arxiv.1808.03270 · pith_short_12: VNAHTBL42D7X · pith_short_16: VNAHTBL42D7X5VWU · pith_short_8: VNAHTBL4
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/VNAHTBL42D7X5VWUCALLHKRF3D \
  | 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: ab4079857cd0ff7ed6d41016b3aa25d8d79e6f04d0b44c39de9474078e28d165
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "6c22d2a1436d394111ee129766a1b967bb9f8e967fe35e6e7953cd08b4748b24",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2018-08-09T14:11:20Z",
    "title_canon_sha256": "91e5bedc501b70f14c51b36f940cd3b0525c045f0f8ec45adb6b992ccfc2f511"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.03270",
    "kind": "arxiv",
    "version": 1
  }
}