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Pith Number

pith:57RASDUQ

pith:2019:57RASDUQ23GAOU3YWYQVB6OY5P
not attested not anchored not stored refs pending

Curves on a smooth surface with position vectors lie in the tangent plane

Absos Ali Shaikh, Pinaki Ranjan Ghosh

arxiv:1905.11205 v1 · 2019-05-21 · math.GM

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{57RASDUQ23GAOU3YWYQVB6OY5P}

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 2026-05-17T23:45:02.661119Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

efe2090e90d6cc075378b62150f9d8ebc0c3c493a1a05266053462bf6efdd96a

Aliases

arxiv: 1905.11205 · arxiv_version: 1905.11205v1 · doi: 10.48550/arxiv.1905.11205 · pith_short_12: 57RASDUQ23GA · pith_short_16: 57RASDUQ23GAOU3Y · pith_short_8: 57RASDUQ
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/57RASDUQ23GAOU3YWYQVB6OY5P \
  | 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: efe2090e90d6cc075378b62150f9d8ebc0c3c493a1a05266053462bf6efdd96a
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "478fb717287a29a322e8fe0d33e492a4602826a420fc59bde716bc5045098949",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2019-05-21T10:15:25Z",
    "title_canon_sha256": "5ef77f752b69b799b44df7b646c1ef2eb0005aeea1100534ccb8c116013d7847"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.11205",
    "kind": "arxiv",
    "version": 1
  }
}