Pith Number

pith:R7NW5MB7

pith:2015:R7NW5MB7XE4HEAYDP3AAN327PB

not attested not anchored not stored refs pending

Osculating direction curves and their applications

Mehmet \"Onder, Sezai K{\i}z{\i}ltu\u{g}

arxiv:1503.07385 v1 · 2015-02-16 · 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{R7NW5MB7XE4HEAYDP3AAN327PB}

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	2026-05-18T02:20:21.193859Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8fdb6eb03fb9387203037ec006ef5f786dc3f3f314b91c8a71033c55d0f5ebdf

Aliases

arxiv: 1503.07385 · arxiv_version: 1503.07385v1 · doi: 10.48550/arxiv.1503.07385 · pith_short_12: R7NW5MB7XE4H · pith_short_16: R7NW5MB7XE4HEAYD · pith_short_8: R7NW5MB7

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/R7NW5MB7XE4HEAYDP3AAN327PB \
  | 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: 8fdb6eb03fb9387203037ec006ef5f786dc3f3f314b91c8a71033c55d0f5ebdf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "339175ba0079ec62e38bfb78ac41059b2f9730f5da1d57ff25ecfc2dd784f127",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-02-16T15:01:00Z",
    "title_canon_sha256": "9b10079d62096c3c31432cb79b983a7e2c1b459becac4161e60027d22a29b0fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.07385",
    "kind": "arxiv",
    "version": 1
  }
}